Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925h |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-57377784953125 = -1 · 56 · 710 · 13 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -3 13+ 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131305,-18284178] |
[a1,a2,a3,a4,a6] |
j |
-56723625/13 |
j-invariant |
L |
1.0031907460154 |
L(r)(E,1)/r! |
Ω |
0.12539884325192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
637c1 15925d1 |
Quadratic twists by: 5 -7 |