Atkin-Lehner |
2+ 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568h |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
4900652288 = 28 · 75 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -3 -3 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-817,-8067] |
[a1,a2,a3,a4,a6] |
j |
235874710528/19143173 |
j-invariant |
L |
3.5899831539521 |
L(r)(E,1)/r! |
Ω |
0.89749582087067 |
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 |
63784p1 |
Quadratic twists by: -4 |