Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
5856g |
Isogeny class |
Conductor |
5856 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-132783722496 = -1 · 212 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 -5 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26177,1621551] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-36:1] |
Generators of the group modulo torsion |
j |
-484328442184768/32417901 |
j-invariant |
L |
4.0086437512947 |
L(r)(E,1)/r! |
Ω |
0.98681662346588 |
Real period |
R |
0.084629108893597 |
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 |
5856c1 11712v1 17568k1 |
Quadratic twists by: -4 8 -3 |