Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575h |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4478976 |
Modular degree for the optimal curve |
Δ |
-1667738914296875 = -1 · 57 · 79 · 232 |
Discriminant |
Eigenvalues |
1 -3 5+ 7+ 1 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15327667,-23093520884] |
[a1,a2,a3,a4,a6] |
j |
-48181043296511332209/201768035 |
j-invariant |
L |
1.220817118771 |
L(r)(E,1)/r! |
Ω |
0.03815052716501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515p1 92575u1 |
Quadratic twists by: 5 -23 |