Atkin-Lehner |
2+ 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614f |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7805952 |
Modular degree for the optimal curve |
Δ |
-1.3310557334889E+22 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 5 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2802390210,-57099946029548] |
[a1,a2,a3,a4,a6] |
j |
-3338735425967648730775360534561/18258652036885118976 |
j-invariant |
L |
1.327997864712 |
L(r)(E,1)/r! |
Ω |
0.010374983318062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538l1 |
Quadratic twists by: -3 |