Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730q |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
3371865198130000 = 24 · 54 · 1110 · 13 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-500539,136399445] |
[a1,a2,a3,a4,a6] |
j |
534701144241/130000 |
j-invariant |
L |
3.4805046979889 |
L(r)(E,1)/r! |
Ω |
0.43506308724861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840ct1 78650cb1 15730z1 |
Quadratic twists by: -4 5 -11 |