Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
9767520 |
Modular degree for the optimal curve |
Δ |
5.640465772032E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10535638,-6537831469] |
[a1,a2,a3,a4,a6] |
Generators |
[-2799:33535:1] |
Generators of the group modulo torsion |
j |
46884122425/20447232 |
j-invariant |
L |
10.009700246531 |
L(r)(E,1)/r! |
Ω |
0.0872076416523 |
Real period |
R |
6.0410569377843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550fr1 95550jb1 |
Quadratic twists by: 5 -7 |