Atkin-Lehner |
2+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5170a |
Isogeny class |
Conductor |
5170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6842598400 = 210 · 52 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5515,-156219] |
[a1,a2,a3,a4,a6] |
j |
18552590440692489/6842598400 |
j-invariant |
L |
0.55401190482602 |
L(r)(E,1)/r! |
Ω |
0.55401190482602 |
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 |
41360i2 46530bg2 25850h2 56870s2 |
Quadratic twists by: -4 -3 5 -11 |