Atkin-Lehner |
2- 3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cp |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
171806250000 = 24 · 3 · 58 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1406,3636] |
[a1,a2,a3,a4,a6] |
j |
307396543251169/171806250000 |
j-invariant |
L |
3.5184794303478 |
L(r)(E,1)/r! |
Ω |
0.87961985760676 |
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 |
117810bx1 |
Quadratic twists by: -3 |