Atkin-Lehner |
2- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13294l |
Isogeny class |
Conductor |
13294 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15912 |
Modular degree for the optimal curve |
Δ |
320884842286 = 2 · 178 · 23 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 0 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3378,71315] |
[a1,a2,a3,a4,a6] |
j |
610929/46 |
j-invariant |
L |
0.94488251257011 |
L(r)(E,1)/r! |
Ω |
0.94488251257011 |
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 |
106352w1 119646bb1 13294e1 |
Quadratic twists by: -4 -3 17 |