Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090k |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
61205760 |
Modular degree for the optimal curve |
Δ |
-2.6201482233156E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2326184142,-43184119407564] |
[a1,a2,a3,a4,a6] |
Generators |
[78377892832368927802358020391688135399647327900617176471141807998578436909545505214441895285401146429306519412064835899073339643503603354256075455069482080959726646943051498613293341600400889750736314328658682454079634963925793349314065156712659457122370830775:854203150932830263075905593409543125484607764898592251883306775348081740339765606281291117062203946576785576151884920022128714274686908936317582762572740194005992339476217699135894589116129158627297170191381920684339163227338739732164320819266006641627307678999:1405901942816196429865092410607312454628190087502355293557351544334208304608342112959247303167258874715446630895292819695383314562648186104975987863918462010779633673778709442051114949515013615715805360838607658354514701340707810140876978790353092918375529] |
Generators of the group modulo torsion |
j |
-33602966923620213529/6324810240 |
j-invariant |
L |
4.3804016345093 |
L(r)(E,1)/r! |
Ω |
0.010869474084103 |
Real period |
R |
403.00032923542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090f1 |
Quadratic twists by: -23 |