Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58190s |
Isogeny class |
Conductor |
58190 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-206174269180 = -1 · 22 · 5 · 117 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1369,-9287] |
[a1,a2,a3,a4,a6] |
j |
536362686239/389743420 |
j-invariant |
L |
7.8759487461865 |
L(r)(E,1)/r! |
Ω |
0.56256776788771 |
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 |
58190bb1 |
Quadratic twists by: -23 |