Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616m |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1111236439104 = 26 · 34 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4154,-91104] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1092:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
5.0845670492354 |
L(r)(E,1)/r! |
Ω |
0.60020767026755 |
Real period |
R |
4.2356731687291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11616t1 23232n2 34848bz1 1056i1 |
Quadratic twists by: -4 8 -3 -11 |