Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
100450j |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
40535198231500000 = 25 · 56 · 711 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 2 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-214400,-37052000] |
[a1,a2,a3,a4,a6] |
j |
592915705201/22050784 |
j-invariant |
L |
0.88949950635822 |
L(r)(E,1)/r! |
Ω |
0.22237494219073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018n1 14350d1 |
Quadratic twists by: 5 -7 |