Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184n |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[17:34:1] |
Generators of the group modulo torsion |
j |
-941192/1287 |
j-invariant |
L |
6.6070273767442 |
L(r)(E,1)/r! |
Ω |
0.65278585517307 |
Real period |
R |
2.5303196003643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41184g1 82368eb1 13728g1 |
Quadratic twists by: -4 8 -3 |