Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400p |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-24024195000000 = -1 · 26 · 37 · 57 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 1 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19033,1044187] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1175:1] |
Generators of the group modulo torsion |
j |
-762549907456/24024195 |
j-invariant |
L |
4.5317512546064 |
L(r)(E,1)/r! |
Ω |
0.67078337372014 |
Real period |
R |
3.3779543679477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400go1 975i1 12480be1 |
Quadratic twists by: -4 8 5 |