Atkin-Lehner |
2- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
77372d |
Isogeny class |
Conductor |
77372 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5086368 |
Modular degree for the optimal curve |
Δ |
-4.518616194263E+19 |
Discriminant |
Eigenvalues |
2- 2 -4 4 -4 7 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-845485,-440328039] |
[a1,a2,a3,a4,a6] |
j |
-17997824/12167 |
j-invariant |
L |
1.3755630631158 |
L(r)(E,1)/r! |
Ω |
0.076420171370316 |
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 |
77372e1 |
Quadratic twists by: 29 |