Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14616m |
Isogeny class |
Conductor |
14616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-148712662101362688 = -1 · 211 · 311 · 75 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 -5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187851,-36418394] |
[a1,a2,a3,a4,a6] |
j |
-491028574078226/99607139289 |
j-invariant |
L |
0.68053942399736 |
L(r)(E,1)/r! |
Ω |
0.11342323733289 |
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 |
29232o1 116928ba1 4872e1 102312bs1 |
Quadratic twists by: -4 8 -3 -7 |