Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472dr |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
3125139333568 = 26 · 7 · 178 |
Discriminant |
Eigenvalues |
2- -1 0 7- 0 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8188,274946] |
[a1,a2,a3,a4,a6] |
j |
136000/7 |
j-invariant |
L |
2.3642783576441 |
L(r)(E,1)/r! |
Ω |
0.78809268662604 |
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 |
129472cj1 64736u1 129472by1 |
Quadratic twists by: -4 8 17 |