Atkin-Lehner |
2- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472cj |
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] |
Generators |
[-390:829:8] |
Generators of the group modulo torsion |
j |
136000/7 |
j-invariant |
L |
8.0825140038284 |
L(r)(E,1)/r! |
Ω |
0.50348652327424 |
Real period |
R |
5.35102965945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472dr1 64736q1 129472da1 |
Quadratic twists by: -4 8 17 |