Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3150d |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
423439591680000000 = 214 · 39 · 57 · 75 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1152942,-475178284] |
[a1,a2,a3,a4,a6] |
j |
551105805571803/1376829440 |
j-invariant |
L |
1.4571789037355 |
L(r)(E,1)/r! |
Ω |
0.14571789037355 |
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 |
25200ct1 100800bl1 3150y1 630g1 |
Quadratic twists by: -4 8 -3 5 |