Atkin-Lehner |
2+ 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270w |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
824953896000 = 26 · 39 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19305,-1026675] |
[a1,a2,a3,a4,a6] |
j |
1091486216929681/1131624000 |
j-invariant |
L |
0.81009896626795 |
L(r)(E,1)/r! |
Ω |
0.40504948312961 |
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 |
12090bm1 |
Quadratic twists by: -3 |