Atkin-Lehner |
5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575b |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1801728 |
Modular degree for the optimal curve |
Δ |
7494606013220703125 = 59 · 72 · 238 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ -3 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-811133,248694043] |
[a1,a2,a3,a4,a6] |
j |
48234496/6125 |
j-invariant |
L |
1.8112867075974 |
L(r)(E,1)/r! |
Ω |
0.22641086534029 |
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 |
18515l1 92575p1 |
Quadratic twists by: 5 -23 |