Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472du |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
6 |
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 |
1.4959055184558 |
L(r)(E,1)/r! |
Ω |
0.24931758149459 |
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 |
129472x1 32368bl1 129472ci1 |
Quadratic twists by: -4 8 17 |