Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152bc |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-133831819264 = -1 · 215 · 11 · 135 |
Discriminant |
Eigenvalues |
2- 2 -1 -5 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1279,-703] |
[a1,a2,a3,a4,a6] |
Generators |
[1:24:1] |
Generators of the group modulo torsion |
j |
7055792632/4084223 |
j-invariant |
L |
5.0076947910514 |
L(r)(E,1)/r! |
Ω |
0.61881198011262 |
Real period |
R |
2.0231083721666 |
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 |
9152r1 4576e1 82368dm1 100672ee1 |
Quadratic twists by: -4 8 -3 -11 |