Atkin-Lehner |
3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225ba |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
36593075875078125 = 319 · 57 · 13 · 31 |
Discriminant |
Eigenvalues |
2 3- 5+ 5 2 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-161408,-23254531] |
[a1,a2,a3,a4,a6] |
j |
29763331769995264/2341956856005 |
j-invariant |
L |
9.0962536273619 |
L(r)(E,1)/r! |
Ω |
0.23937509545688 |
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 |
90675bj1 6045c1 |
Quadratic twists by: -3 5 |