Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650ed |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
9437184 |
Modular degree for the optimal curve |
Δ |
5.971585794048E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10636880,6332253747] |
[a1,a2,a3,a4,a6] |
Generators |
[-3235:84561:1] |
Generators of the group modulo torsion |
j |
11684735845700727601/5242544455680000 |
j-invariant |
L |
11.94746049452 |
L(r)(E,1)/r! |
Ω |
0.09973102070939 |
Real period |
R |
1.8718255240887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006407 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550n1 19530k1 |
Quadratic twists by: -3 5 |