Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626bf |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
7762873478256 = 24 · 317 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 3 2 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7016,-180421] |
[a1,a2,a3,a4,a6] |
j |
181262952217/36846576 |
j-invariant |
L |
8.4655082618233 |
L(r)(E,1)/r! |
Ω |
0.52909426643918 |
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 |
22542p1 67626bo1 |
Quadratic twists by: -3 17 |