Atkin-Lehner |
2- 3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bm |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
deg |
2985984 |
Modular degree for the optimal curve |
Δ |
2.8902450478363E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1993700,-1051697401] |
[a1,a2,a3,a4,a6] |
Generators |
[-923:1693:1] |
Generators of the group modulo torsion |
j |
32459301533865470839875/1070461128828256256 |
j-invariant |
L |
11.497800763429 |
L(r)(E,1)/r! |
Ω |
0.12730999114521 |
Real period |
R |
2.5087061249209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996897 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
96642j3 |
Quadratic twists by: -3 |