Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448be |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86980608 |
Modular degree for the optimal curve |
Δ |
-4.9638298046473E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5435429115,-154277901200342] |
[a1,a2,a3,a4,a6] |
Generators |
[20632604653824904591197998994549352107607108027481599440097435559909776665434379852189884453630749793364245125792003566472:6661470185799754071739176184302251116267791532300057610939534073472755159142948097202159616905523351071311535115842455410449:139403406299000464452878366847708126263250648796449645514722226328548239243213124829101861835909697287702772063166976] |
Generators of the group modulo torsion |
j |
-5947545113003117669770077625/1662376558162159337472 |
j-invariant |
L |
6.600494791953 |
L(r)(E,1)/r! |
Ω |
0.0087913145236977 |
Real period |
R |
187.69931317327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13806h1 36816p1 |
Quadratic twists by: -4 -3 |