Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ci |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-9471168 = -1 · 26 · 36 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 0 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,-254] |
[a1,a2,a3,a4,a6] |
j |
-681472/203 |
j-invariant |
L |
0.82484453633808 |
L(r)(E,1)/r! |
Ω |
0.82484532148536 |
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 |
116928bn1 58464bd1 12992n1 |
Quadratic twists by: -4 8 -3 |