Atkin-Lehner |
2+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128j |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-358252544 = -1 · 215 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 0 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-1151] |
[a1,a2,a3,a4,a6] |
Generators |
[27:116:1] |
Generators of the group modulo torsion |
j |
-14172488/10933 |
j-invariant |
L |
3.0352329374864 |
L(r)(E,1)/r! |
Ω |
0.64819757303546 |
Real period |
R |
1.1706434364111 |
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 |
24128i1 12064c1 |
Quadratic twists by: -4 8 |