Atkin-Lehner |
3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
71961c |
Isogeny class |
Conductor |
71961 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-6010254681 = -1 · 3 · 176 · 83 |
Discriminant |
Eigenvalues |
1 3- 1 4 3 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,427,1565] |
[a1,a2,a3,a4,a6] |
j |
357911/249 |
j-invariant |
L |
6.8028836354791 |
L(r)(E,1)/r! |
Ω |
0.85036045601554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
249b1 |
Quadratic twists by: 17 |