Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bk |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
204809131364712448 = 222 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ 1 2 7- -2 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268577,48859967] |
[a1,a2,a3,a4,a6] |
Generators |
[27895:36992:125] |
Generators of the group modulo torsion |
j |
1171657/112 |
j-invariant |
L |
9.2804339234679 |
L(r)(E,1)/r! |
Ω |
0.30826928052203 |
Real period |
R |
2.5087465460463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472co1 4046g1 129472g1 |
Quadratic twists by: -4 8 17 |