Atkin-Lehner |
2+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864f |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-55880704 = -1 · 210 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -1 1 11- -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1688,26696] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-11:1] [10:104:1] |
Generators of the group modulo torsion |
j |
-519446808576/54571 |
j-invariant |
L |
7.8079048217084 |
L(r)(E,1)/r! |
Ω |
1.9048406446563 |
Real period |
R |
0.68316343098586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864l1 3608a1 |
Quadratic twists by: -4 8 |