Atkin-Lehner |
2- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530m |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
4645619085323840 = 26 · 5 · 139 · 372 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55351,3767629] |
[a1,a2,a3,a4,a6] |
j |
3885442650361/962461760 |
j-invariant |
L |
4.890412518742 |
L(r)(E,1)/r! |
Ω |
0.40753437691045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810d1 |
Quadratic twists by: 13 |