Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37570g |
Isogeny class |
Conductor |
37570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.216351953125E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51132181,140706167803] |
[a1,a2,a3,a4,a6] |
j |
3009261308803109129809313/85820312500000000 |
j-invariant |
L |
4.9953248595463 |
L(r)(E,1)/r! |
Ω |
0.15610390186121 |
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 |
37570p2 |
Quadratic twists by: 17 |