Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150bf |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
75202560 |
Modular degree for the optimal curve |
Δ |
8.388624384E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8533600001,-303390340651852] |
[a1,a2,a3,a4,a6] |
j |
4398458841654808806211585536001/536871960576000000000000 |
j-invariant |
L |
1.2566364475994 |
L(r)(E,1)/r! |
Ω |
0.015707955598053 |
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 |
9030o1 |
Quadratic twists by: 5 |