Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
93786by |
Isogeny class |
Conductor |
93786 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
154952791031808 = 216 · 32 · 77 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24697,1358279] |
[a1,a2,a3,a4,a6] |
j |
14160193117057/1317076992 |
j-invariant |
L |
4.4920520635584 |
L(r)(E,1)/r! |
Ω |
0.56150652201689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13398bj1 |
Quadratic twists by: -7 |