Atkin-Lehner |
2- 3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bo |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
96684840000000000 = 212 · 35 · 510 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-789040,-269093888] |
[a1,a2,a3,a4,a6] |
j |
13263598743074512561/23604697265625 |
j-invariant |
L |
1.6020319745584 |
L(r)(E,1)/r! |
Ω |
0.16020319749074 |
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 |
3045j1 |
Quadratic twists by: -4 |