Atkin-Lehner |
11- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
96679b |
Isogeny class |
Conductor |
96679 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9918720 |
Modular degree for the optimal curve |
Δ |
1.0045468354755E+23 |
Discriminant |
Eigenvalues |
1 0 1 5 11- 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17963864,25029935871] |
[a1,a2,a3,a4,a6] |
Generators |
[245337004670:44862266251303:7189057] |
Generators of the group modulo torsion |
j |
361881923610251311281/56704050014395949 |
j-invariant |
L |
9.7871244391388 |
L(r)(E,1)/r! |
Ω |
0.10179757403523 |
Real period |
R |
16.023833789582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8789c1 |
Quadratic twists by: -11 |