Atkin-Lehner |
2- 3- 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014s |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-96549084721152 = -1 · 212 · 32 · 7 · 232 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17247,990297] |
[a1,a2,a3,a4,a6] |
j |
-567369487256391793/96549084721152 |
j-invariant |
L |
6.9320453869884 |
L(r)(E,1)/r! |
Ω |
0.57767044891561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84042s1 |
Quadratic twists by: -3 |