Atkin-Lehner |
2- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77924s |
Isogeny class |
Conductor |
77924 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-3865319342192 = -1 · 24 · 72 · 118 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173982,-489207607] |
[a1,a2,a3,a4,a6] |
j |
-6312949321739008/136367 |
j-invariant |
L |
0.87023272281953 |
L(r)(E,1)/r! |
Ω |
0.07251939429624 |
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 |
7084d1 |
Quadratic twists by: -11 |