Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bg |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
69403061722500 = 22 · 38 · 54 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-86801,9827781] |
[a1,a2,a3,a4,a6] |
j |
72326626749631816849/69403061722500 |
j-invariant |
L |
4.9073062669082 |
L(r)(E,1)/r! |
Ω |
0.61341328336352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880bp2 16830bd2 28050f2 61710bb2 |
Quadratic twists by: -4 -3 5 -11 |