Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616h |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
3741536832 = 26 · 3 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1250,-16344] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:16:1] [70:484:1] |
Generators of the group modulo torsion |
j |
1906624/33 |
j-invariant |
L |
4.3552513170916 |
L(r)(E,1)/r! |
Ω |
0.80370956103754 |
Real period |
R |
2.7094684001696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11616bf1 23232ck1 34848ck1 1056h1 |
Quadratic twists by: -4 8 -3 -11 |