Atkin-Lehner |
5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
97175l |
Isogeny class |
Conductor |
97175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
505440 |
Modular degree for the optimal curve |
Δ |
-6742524240765625 = -1 · 56 · 138 · 232 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,12587,-3907844] |
[a1,a2,a3,a4,a6] |
j |
17303/529 |
j-invariant |
L |
3.6575428949977 |
L(r)(E,1)/r! |
Ω |
0.20319684410729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3887a1 97175i1 |
Quadratic twists by: 5 13 |