Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34056y |
Isogeny class |
Conductor |
34056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-85801503744 = -1 · 210 · 311 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- -4 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,14222] |
[a1,a2,a3,a4,a6] |
j |
-3650692/114939 |
j-invariant |
L |
3.5975763812199 |
L(r)(E,1)/r! |
Ω |
0.89939409530436 |
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 |
68112j1 11352a1 |
Quadratic twists by: -4 -3 |