Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14616l |
Isogeny class |
Conductor |
14616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
113654016 = 28 · 37 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1839,-30350] |
[a1,a2,a3,a4,a6] |
j |
3685542352/609 |
j-invariant |
L |
1.4581037411456 |
L(r)(E,1)/r! |
Ω |
0.72905187057282 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29232m1 116928bc1 4872f1 102312bv1 |
Quadratic twists by: -4 8 -3 -7 |