Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36360c |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
-2.0532907265287E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 0 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46535583,-122381580782] |
[a1,a2,a3,a4,a6] |
j |
-59718885747089141926096/110022865576171875 |
j-invariant |
L |
2.8898501126503 |
L(r)(E,1)/r! |
Ω |
0.028898501126685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720j1 12120q1 |
Quadratic twists by: -4 -3 |