Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642r |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
166579689696 = 25 · 3 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 0 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1839,22978] |
[a1,a2,a3,a4,a6] |
j |
5841725401/1415904 |
j-invariant |
L |
1.9148574274302 |
L(r)(E,1)/r! |
Ω |
0.95742871371509 |
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 |
101136bb1 37926bv1 1806b1 |
Quadratic twists by: -4 -3 -7 |