Atkin-Lehner |
2+ 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568g |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34304 |
Modular degree for the optimal curve |
Δ |
34698496 = 28 · 7 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 6 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204,-1156] |
[a1,a2,a3,a4,a6] |
j |
3685542352/135541 |
j-invariant |
L |
5.0623955667589 |
L(r)(E,1)/r! |
Ω |
1.2655991679907 |
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 |
63784o1 |
Quadratic twists by: -4 |