Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730z |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
1903330000 = 24 · 54 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3 5- 2 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4137,-101351] |
[a1,a2,a3,a4,a6] |
j |
534701144241/130000 |
j-invariant |
L |
9.5249497925061 |
L(r)(E,1)/r! |
Ω |
0.59530936203163 |
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 |
125840cn1 78650v1 15730q1 |
Quadratic twists by: -4 5 -11 |