Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368z |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-8876335104 = -1 · 213 · 35 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1736,27636] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-504:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
4.2730314995492 |
L(r)(E,1)/r! |
Ω |
1.3050134206522 |
Real period |
R |
0.054571999438567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
546a1 17472cb1 13104ch1 109200cu1 |
Quadratic twists by: -4 8 -3 5 |