Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936s |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-208901493504 = -1 · 28 · 36 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 11- -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1236,27628] |
[a1,a2,a3,a4,a6] |
j |
-1118952448/1119371 |
j-invariant |
L |
5.4667599885236 |
L(r)(E,1)/r! |
Ω |
0.91112666477194 |
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 |
22968t1 5104a1 |
Quadratic twists by: -4 -3 |