Atkin-Lehner |
2- 3- 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110by |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-56634552000 = -1 · 26 · 38 · 53 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,112,-11469] |
[a1,a2,a3,a4,a6] |
j |
214921799/77688000 |
j-invariant |
L |
6.2779968162613 |
L(r)(E,1)/r! |
Ω |
0.52316637610451 |
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 |
32370c1 |
Quadratic twists by: -3 |