Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63162z |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
5.7555112007825E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8685342,9153171220] |
[a1,a2,a3,a4,a6] |
j |
56104910457765625/4456565194752 |
j-invariant |
L |
1.0554021805702 |
L(r)(E,1)/r! |
Ω |
0.1319252723876 |
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 |
21054w1 5742t1 |
Quadratic twists by: -3 -11 |