Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25840a |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
39276800 = 28 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116,416] |
[a1,a2,a3,a4,a6] |
j |
680136784/153425 |
j-invariant |
L |
3.8546619144089 |
L(r)(E,1)/r! |
Ω |
1.9273309572045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12920h1 103360ch1 129200u1 |
Quadratic twists by: -4 8 5 |