Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
8784d |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-39243987130032 = -1 · 24 · 311 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10434,509047] |
[a1,a2,a3,a4,a6] |
Generators |
[2082:31415:8] |
Generators of the group modulo torsion |
j |
-10770322266112/3364539363 |
j-invariant |
L |
4.8319719204987 |
L(r)(E,1)/r! |
Ω |
0.61179393421358 |
Real period |
R |
3.9490191470351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4392c1 35136bw1 2928e1 |
Quadratic twists by: -4 8 -3 |