Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104284h |
Isogeny class |
Conductor |
104284 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
595080 |
Modular degree for the optimal curve |
Δ |
3969955533258496 = 28 · 298 · 31 |
Discriminant |
Eigenvalues |
2- 1 3 2 -3 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138204,19495844] |
[a1,a2,a3,a4,a6] |
j |
2279632/31 |
j-invariant |
L |
3.9739843382351 |
L(r)(E,1)/r! |
Ω |
0.44155383220608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104284a1 |
Quadratic twists by: 29 |