Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5096i |
Isogeny class |
Conductor |
5096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
132496 = 24 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 5 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,13] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
614656/169 |
j-invariant |
L |
4.2807275245712 |
L(r)(E,1)/r! |
Ω |
3.0649268527398 |
Real period |
R |
0.34917044763602 |
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 |
10192e1 40768bo1 45864i1 127400k1 |
Quadratic twists by: -4 8 -3 5 |