Atkin-Lehner |
2+ 3+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2928a |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-298763375616 = -1 · 210 · 314 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 3 5 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1640,-6752] |
[a1,a2,a3,a4,a6] |
j |
476091534236/291761109 |
j-invariant |
L |
2.248512517055 |
L(r)(E,1)/r! |
Ω |
0.56212812926375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1464b1 11712bf1 8784b1 73200y1 |
Quadratic twists by: -4 8 -3 5 |