Atkin-Lehner |
2+ 3- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110v |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2937600 |
Modular degree for the optimal curve |
Δ |
1.1921599168252E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -4 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1498050,-685523750] |
[a1,a2,a3,a4,a6] |
j |
510005986216284448801/16353359627231250 |
j-invariant |
L |
1.6407874589056 |
L(r)(E,1)/r! |
Ω |
0.13673226245281 |
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 |
32370z1 |
Quadratic twists by: -3 |