Atkin-Lehner |
2+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
2726c |
Isogeny class |
Conductor |
2726 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
37561401344 = 215 · 293 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -3 2 0 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3345,-74140] |
[a1,a2,a3,a4,a6] |
j |
4137380171974153/37561401344 |
j-invariant |
L |
0.62813647847841 |
L(r)(E,1)/r! |
Ω |
0.62813647847841 |
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 |
21808c2 87232j2 24534s2 68150n2 |
Quadratic twists by: -4 8 -3 5 |