Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bo |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6580224 |
Modular degree for the optimal curve |
Δ |
204809131364712448 = 222 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ -1 4 7- 0 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22121601,-40039893887] |
[a1,a2,a3,a4,a6] |
Generators |
[-93181631075:1445980288:34328125] |
Generators of the group modulo torsion |
j |
654699641761/112 |
j-invariant |
L |
8.1755552297926 |
L(r)(E,1)/r! |
Ω |
0.069613812439209 |
Real period |
R |
9.78679726447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472cm1 4046s1 129472e1 |
Quadratic twists by: -4 8 17 |