Atkin-Lehner |
2- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73892o |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
452052635216 = 24 · 78 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22997,-1334290] |
[a1,a2,a3,a4,a6] |
Generators |
[10803:197225:27] |
Generators of the group modulo torsion |
j |
714575183872/240149 |
j-invariant |
L |
11.642905454625 |
L(r)(E,1)/r! |
Ω |
0.3876938785145 |
Real period |
R |
5.0051970116208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10556a1 |
Quadratic twists by: -7 |