Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714x |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-536170752 = -1 · 28 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 1 4 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,202,69] |
[a1,a2,a3,a4,a6] |
j |
7433231/4352 |
j-invariant |
L |
7.9712191378459 |
L(r)(E,1)/r! |
Ω |
0.9964023923387 |
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 |
5746b1 51714j1 |
Quadratic twists by: -3 13 |