Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150j |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
3048894843750000 = 24 · 33 · 510 · 75 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 5 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-41575,1877125] |
[a1,a2,a3,a4,a6] |
j |
813835751425/312206832 |
j-invariant |
L |
0.8204192283893 |
L(r)(E,1)/r! |
Ω |
0.41020961414614 |
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 |
45150dh1 |
Quadratic twists by: 5 |