Atkin-Lehner |
2- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6032f |
Isogeny class |
Conductor |
6032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
1544192 = 212 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,-574] |
[a1,a2,a3,a4,a6] |
j |
60698457/377 |
j-invariant |
L |
1.411705854709 |
L(r)(E,1)/r! |
Ω |
1.411705854709 |
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 |
377a1 24128m1 54288bo1 78416r1 |
Quadratic twists by: -4 8 -3 13 |