Atkin-Lehner |
2+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472x |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
627227964804431872 = 218 · 73 · 178 |
Discriminant |
Eigenvalues |
2+ -3 -4 7+ 0 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216172,-6681680] |
[a1,a2,a3,a4,a6] |
j |
610929/343 |
j-invariant |
L |
0.95246249350506 |
L(r)(E,1)/r! |
Ω |
0.23811561700956 |
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 |
129472du1 2023a1 129472bi1 |
Quadratic twists by: -4 8 17 |