Atkin-Lehner |
3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14157p |
Isogeny class |
Conductor |
14157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-713049169448187 = -1 · 39 · 118 · 132 |
Discriminant |
Eigenvalues |
0 3- 0 -1 11- 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-79860,-8780940] |
[a1,a2,a3,a4,a6] |
j |
-360448000/4563 |
j-invariant |
L |
0.56757069717206 |
L(r)(E,1)/r! |
Ω |
0.14189267429302 |
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 |
4719l1 14157g1 |
Quadratic twists by: -3 -11 |