Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5070i |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1338796875000 = -1 · 23 · 3 · 59 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1686,49012] |
[a1,a2,a3,a4,a6] |
j |
18573478391/46875000 |
j-invariant |
L |
1.7973824456476 |
L(r)(E,1)/r! |
Ω |
0.59912748188253 |
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 |
40560bj2 15210bp2 25350bz2 5070u2 |
Quadratic twists by: -4 -3 5 13 |