Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616j |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
33673831488 = 26 · 33 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11898,495504] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1452:1] |
Generators of the group modulo torsion |
j |
1643032000/297 |
j-invariant |
L |
5.0923719144248 |
L(r)(E,1)/r! |
Ω |
1.1295639877599 |
Real period |
R |
0.75137722307109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11616q1 23232h1 34848bs1 1056j1 |
Quadratic twists by: -4 8 -3 -11 |