Atkin-Lehner |
2+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530a |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.1152428152003E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8063275,7971350661] |
[a1,a2,a3,a4,a6] |
Generators |
[-326655:-13060482:125] |
Generators of the group modulo torsion |
j |
12011522078381443281/1266932836000000 |
j-invariant |
L |
3.0292257550884 |
L(r)(E,1)/r! |
Ω |
0.1302507195083 |
Real period |
R |
11.628441542256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993733 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4810h2 |
Quadratic twists by: 13 |