Atkin-Lehner |
2+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5312a |
Isogeny class |
Conductor |
5312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-84992 = -1 · 210 · 83 |
Discriminant |
Eigenvalues |
2+ 1 0 1 1 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13,19] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-256000/83 |
j-invariant |
L |
4.6332168795545 |
L(r)(E,1)/r! |
Ω |
3.2220948911973 |
Real period |
R |
0.7189758582549 |
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 |
5312o1 664c1 47808t1 |
Quadratic twists by: -4 8 -3 |