Atkin-Lehner |
2+ 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
124002h |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71393280 |
Modular degree for the optimal curve |
Δ |
-6.6716137048806E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,418226454,-2146266231948] |
[a1,a2,a3,a4,a6] |
Generators |
[17351308888363732390734855512450047585401226931:4968258118186195209890194429878199931164825372297:224705845957870006008081910979110996838381] |
Generators of the group modulo torsion |
j |
715236647/589824 |
j-invariant |
L |
6.988020213069 |
L(r)(E,1)/r! |
Ω |
0.023335946798585 |
Real period |
R |
74.863260031653 |
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 |
41334i1 124002s1 |
Quadratic twists by: -3 -83 |