Atkin-Lehner |
3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561n |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-24809260203 = -1 · 315 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 7- -3 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3090,-66546] |
[a1,a2,a3,a4,a6] |
Generators |
[3154:61961:8] |
Generators of the group modulo torsion |
j |
-4475809792000/34031907 |
j-invariant |
L |
4.0598365937065 |
L(r)(E,1)/r! |
Ω |
0.32002415234631 |
Real period |
R |
6.3430159316744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5187l1 108927g1 |
Quadratic twists by: -3 -7 |