Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350cb |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-2277088137878062500 = -1 · 22 · 325 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9927905,-12037959403] |
[a1,a2,a3,a4,a6] |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
4.2526007451643 |
L(r)(E,1)/r! |
Ω |
0.042526007451643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450k1 774c1 |
Quadratic twists by: -3 5 |