Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184g |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-480370176 = -1 · 29 · 38 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,1258] |
[a1,a2,a3,a4,a6] |
j |
-941192/1287 |
j-invariant |
L |
2.9923250897614 |
L(r)(E,1)/r! |
Ω |
1.4961625448994 |
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 |
41184n1 82368ey1 13728l1 |
Quadratic twists by: -4 8 -3 |