Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11616i |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
452725956672 = 26 · 3 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11+ 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2218,23120] |
[a1,a2,a3,a4,a6] |
j |
8000/3 |
j-invariant |
L |
3.4269179616907 |
L(r)(E,1)/r! |
Ω |
0.85672949042268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11616p1 23232a1 34848bp1 11616x1 |
Quadratic twists by: -4 8 -3 -11 |