Atkin-Lehner |
2- 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610bb |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-20322604533582450 = -1 · 2 · 38 · 52 · 118 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,52360,-5055253] |
[a1,a2,a3,a4,a6] |
j |
15875306080318016639/20322604533582450 |
j-invariant |
L |
3.2856807483179 |
L(r)(E,1)/r! |
Ω |
0.20535504676987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44880cy5 16830t6 28050y5 61710o5 |
Quadratic twists by: -4 -3 5 -11 |