Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bb |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
247623269602500 = 22 · 34 · 54 · 114 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19890,-778053] |
[a1,a2,a3,a4,a6] |
j |
870220733067747361/247623269602500 |
j-invariant |
L |
3.2856807483179 |
L(r)(E,1)/r! |
Ω |
0.41071009353974 |
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 |
44880cy4 16830t3 28050y4 61710o4 |
Quadratic twists by: -4 -3 5 -11 |