Atkin-Lehner |
2- 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113100h |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
954281250000 = 24 · 34 · 59 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392633,94826262] |
[a1,a2,a3,a4,a6] |
j |
26775969499365376/3817125 |
j-invariant |
L |
2.7526989835976 |
L(r)(E,1)/r! |
Ω |
0.68817486370979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620h1 |
Quadratic twists by: 5 |