Atkin-Lehner |
2- 3- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
59856s |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
2274048 |
Modular degree for the optimal curve |
Δ |
1.4663753382012E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1071944,-385759884] |
[a1,a2,a3,a4,a6] |
Generators |
[-500:5046:1] |
Generators of the group modulo torsion |
j |
33256800294412414537/3580017915530304 |
j-invariant |
L |
2.8356181183596 |
L(r)(E,1)/r! |
Ω |
0.14940839871338 |
Real period |
R |
0.45188033394061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7482a1 |
Quadratic twists by: -4 |