Atkin-Lehner |
2+ 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110s |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
7990528 |
Modular degree for the optimal curve |
Δ |
8.3034365211263E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11971305,-7868394675] |
[a1,a2,a3,a4,a6] |
j |
260267950003303480801681/113901735543570000000 |
j-invariant |
L |
1.1828142185218 |
L(r)(E,1)/r! |
Ω |
0.084486729625273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32370bk1 |
Quadratic twists by: -3 |