Atkin-Lehner |
2- 3- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014w |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
6120 |
Product of Tamagawa factors cp |
deg |
17625600 |
Modular degree for the optimal curve |
Δ |
-1.9936394187409E+26 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-522589417,4648079512409] |
[a1,a2,a3,a4,a6] |
Generators |
[20378:1558595:1] |
Generators of the group modulo torsion |
j |
-15783581016591674409040545168913/199363941874093251129348096 |
j-invariant |
L |
7.328930886251 |
L(r)(E,1)/r! |
Ω |
0.056688613850646 |
Real period |
R |
0.021124836985196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84042m1 |
Quadratic twists by: -3 |