Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610m |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
993794670 = 2 · 312 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9989,383402] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1:1] |
Generators of the group modulo torsion |
j |
110211585818155849/993794670 |
j-invariant |
L |
3.2845868029366 |
L(r)(E,1)/r! |
Ω |
1.4079345262794 |
Real period |
R |
0.77763720344213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880ba4 16830co3 28050ch4 61710cm4 |
Quadratic twists by: -4 -3 5 -11 |