Atkin-Lehner |
3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18963j |
Isogeny class |
Conductor |
18963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1626382952523 = -1 · 38 · 78 · 43 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 -1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2940,-86] |
[a1,a2,a3,a4,a6] |
j |
32768000/18963 |
j-invariant |
L |
2.0139572563926 |
L(r)(E,1)/r! |
Ω |
0.50348931409815 |
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 |
6321b1 2709a1 |
Quadratic twists by: -3 -7 |