Atkin-Lehner |
2- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
97006i |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
47900160 |
Modular degree for the optimal curve |
Δ |
7.8943503577684E+25 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1994964306,-34294081486588] |
[a1,a2,a3,a4,a6] |
Generators |
[-2344922178942868:3037624276204722:90337529303] |
Generators of the group modulo torsion |
j |
181915199617140665149942441/16355215956894889984 |
j-invariant |
L |
10.474436225627 |
L(r)(E,1)/r! |
Ω |
0.022590098007879 |
Real period |
R |
21.076081093692 |
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 |
7462e1 |
Quadratic twists by: 13 |