Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400eo |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
3003024375000000 = 26 · 37 · 510 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160161508,780216367762] |
[a1,a2,a3,a4,a6] |
Generators |
[178210539:45422:24389] |
Generators of the group modulo torsion |
j |
454357982636417669333824/3003024375 |
j-invariant |
L |
5.466640346549 |
L(r)(E,1)/r! |
Ω |
0.22052973046199 |
Real period |
R |
8.262892468446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400ha1 31200bv4 12480cu1 |
Quadratic twists by: -4 8 5 |