Atkin-Lehner |
2- 3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270co |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
2748900000000 = 28 · 3 · 58 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3906,-49980] |
[a1,a2,a3,a4,a6] |
j |
6590636786811169/2748900000000 |
j-invariant |
L |
5.0132756906073 |
L(r)(E,1)/r! |
Ω |
0.62665946132629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810bu1 |
Quadratic twists by: -3 |