Atkin-Lehner |
2- 3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010bt |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
282533062500 = 22 · 38 · 56 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1913,-19083] |
[a1,a2,a3,a4,a6] |
Generators |
[-6776:34605:512] |
Generators of the group modulo torsion |
j |
1061520150601/387562500 |
j-invariant |
L |
10.052255553525 |
L(r)(E,1)/r! |
Ω |
0.74398419661101 |
Real period |
R |
6.7556915853532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670k1 |
Quadratic twists by: -3 |