Atkin-Lehner |
3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8463l |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-7650392396283 = -1 · 318 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1463,134321] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:256:1] |
Generators of the group modulo torsion |
j |
-346540109824000/7650392396283 |
j-invariant |
L |
4.5085268692882 |
L(r)(E,1)/r! |
Ω |
0.62232510640875 |
Real period |
R |
1.811162213632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
25389p1 59241b1 110019o1 |
Quadratic twists by: -3 -7 13 |