Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682k |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
786240 |
Modular degree for the optimal curve |
Δ |
-78759026254228996 = -1 · 22 · 138 · 176 |
Discriminant |
Eigenvalues |
2- 0 1 -4 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,39683,13145097] |
[a1,a2,a3,a4,a6] |
j |
351/4 |
j-invariant |
L |
0.5061165726066 |
L(r)(E,1)/r! |
Ω |
0.25305835295944 |
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 |
97682a1 338b1 |
Quadratic twists by: 13 17 |