Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616f |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-2634041929728 = -1 · 212 · 3 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -2 3 11- 6 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3549,113973] |
[a1,a2,a3,a4,a6] |
j |
-5632/3 |
j-invariant |
L |
1.5065357518053 |
L(r)(E,1)/r! |
Ω |
0.75326787590263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11616bd1 23232by1 34848cb1 11616v1 |
Quadratic twists by: -4 8 -3 -11 |