Atkin-Lehner |
2- 3- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110ca |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2672640 |
Modular degree for the optimal curve |
Δ |
594928270462500 = 22 · 312 · 55 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5553428,5038595187] |
[a1,a2,a3,a4,a6] |
j |
25982416925501954882041/816088162500 |
j-invariant |
L |
6.8136305490644 |
L(r)(E,1)/r! |
Ω |
0.37853503521861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370e1 |
Quadratic twists by: -3 |