Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712c |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
261015552 = 211 · 32 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -6 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,2448] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:60:1] [-8:68:1] |
Generators of the group modulo torsion |
j |
2204605874/127449 |
j-invariant |
L |
3.9177418301743 |
L(r)(E,1)/r! |
Ω |
1.7195800627864 |
Real period |
R |
0.2847891408896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2856d2 22848cp2 17136e2 39984q2 |
Quadratic twists by: -4 8 -3 -7 |