Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350eu |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.4986500682545E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1486130,-671615503] |
[a1,a2,a3,a4,a6] |
Generators |
[-741:5095:1] |
Generators of the group modulo torsion |
j |
31867374745699921/1315687302720 |
j-invariant |
L |
11.747635584206 |
L(r)(E,1)/r! |
Ω |
0.13708517087277 |
Real period |
R |
1.7853310189941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450bc1 18270n1 |
Quadratic twists by: -3 5 |