Atkin-Lehner |
11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4147c |
Isogeny class |
Conductor |
4147 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-589408963 = -1 · 11 · 133 · 293 |
Discriminant |
Eigenvalues |
1 2 -2 -5 11- 13+ 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-676,6591] |
[a1,a2,a3,a4,a6] |
j |
-34242639807817/589408963 |
j-invariant |
L |
1.6345871501337 |
L(r)(E,1)/r! |
Ω |
1.6345871501337 |
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 |
66352g1 37323d1 103675x1 45617d1 |
Quadratic twists by: -4 -3 5 -11 |