Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
117978s |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
76930560 |
Modular degree for the optimal curve |
Δ |
1.0498419211456E+27 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1117337393,14290314164687] |
[a1,a2,a3,a4,a6] |
j |
2477820004610424625/16862305517568 |
j-invariant |
L |
4.7468369172226 |
L(r)(E,1)/r! |
Ω |
0.049446212919759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117978i1 |
Quadratic twists by: 53 |