Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
97020bs |
Isogeny class |
Conductor |
97020 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17297280 |
Modular degree for the optimal curve |
Δ |
-2.5909640349347E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156672453,793544370577] |
[a1,a2,a3,a4,a6] |
Generators |
[3016664:106228485:343] |
Generators of the group modulo torsion |
j |
-129084391106508544/7863818359375 |
j-invariant |
L |
6.5574982257283 |
L(r)(E,1)/r! |
Ω |
0.065982581252638 |
Real period |
R |
9.9382262640628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10780m1 97020cf1 |
Quadratic twists by: -3 -7 |