Atkin-Lehner |
2- 3+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
15756a |
Isogeny class |
Conductor |
15756 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
686880 |
Modular degree for the optimal curve |
Δ |
2.3478052893806E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-786425,-132810834] |
[a1,a2,a3,a4,a6] |
j |
3361833610134163603456/1467378305862847677 |
j-invariant |
L |
0.66740590975449 |
L(r)(E,1)/r! |
Ω |
0.16685147743862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63024p1 47268f1 |
Quadratic twists by: -4 -3 |