Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730v |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
278666545300 = 22 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1636,1233] |
[a1,a2,a3,a4,a6] |
j |
2259169/1300 |
j-invariant |
L |
3.3323340694657 |
L(r)(E,1)/r! |
Ω |
0.83308351736643 |
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 |
125840bu1 78650g1 15730c1 |
Quadratic twists by: -4 5 -11 |