Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49088f |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-167285620736 = -1 · 224 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3 1 -5 0 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,308,19568] |
[a1,a2,a3,a4,a6] |
j |
12326391/638144 |
j-invariant |
L |
3.09823767454 |
L(r)(E,1)/r! |
Ω |
0.77455941862527 |
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 |
49088p1 1534b1 |
Quadratic twists by: -4 8 |