Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616o |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-192011793076224 = -1 · 212 · 318 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11- -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5471,-646417] |
[a1,a2,a3,a4,a6] |
Generators |
[71:324:1] |
Generators of the group modulo torsion |
j |
36534162368/387420489 |
j-invariant |
L |
6.356294543016 |
L(r)(E,1)/r! |
Ω |
0.27922583125671 |
Real period |
R |
0.3161665532722 |
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 |
11616w1 23232y1 34848cj1 11616be1 |
Quadratic twists by: -4 8 -3 -11 |