Atkin-Lehner |
2- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
4472c |
Isogeny class |
Conductor |
4472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2208 |
Modular degree for the optimal curve |
Δ |
64996048 = 24 · 133 · 432 |
Discriminant |
Eigenvalues |
2- 0 4 -2 4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-718,-7395] |
[a1,a2,a3,a4,a6] |
j |
2558450755584/4062253 |
j-invariant |
L |
2.7671398821515 |
L(r)(E,1)/r! |
Ω |
0.92237996071718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8944b1 35776a1 40248p1 111800a1 |
Quadratic twists by: -4 8 -3 5 |