Atkin-Lehner |
2- 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568r |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
106264144 = 24 · 73 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 2 -3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,191] |
[a1,a2,a3,a4,a6] |
j |
13178585088/6641509 |
j-invariant |
L |
3.3296957567687 |
L(r)(E,1)/r! |
Ω |
1.664848798277 |
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 |
31892e1 |
Quadratic twists by: -4 |