Atkin-Lehner |
2- 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bb |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
5906474640 = 24 · 39 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653,-5083] |
[a1,a2,a3,a4,a6] |
j |
42180533641/8102160 |
j-invariant |
L |
3.8286010389229 |
L(r)(E,1)/r! |
Ω |
0.9571502597302 |
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 |
10230u1 |
Quadratic twists by: -3 |