Atkin-Lehner |
2- 3- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59856r |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
2915136 |
Modular degree for the optimal curve |
Δ |
8.1461871898075E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -1 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14650805,-21584933853] |
[a1,a2,a3,a4,a6] |
Generators |
[-79026618:67616081:35937] |
Generators of the group modulo torsion |
j |
84907930899549935927296/19888152318865869 |
j-invariant |
L |
9.3068390734304 |
L(r)(E,1)/r! |
Ω |
0.077168540180343 |
Real period |
R |
5.7430503672243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3741c1 |
Quadratic twists by: -4 |