Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635u |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2311887105 = 32 · 5 · 116 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-842163,297399001] |
[a1,a2,a3,a4,a6] |
j |
37286818682653441/1305 |
j-invariant |
L |
3.108569532359 |
L(r)(E,1)/r! |
Ω |
0.77714238355605 |
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 |
435d3 |
Quadratic twists by: -11 |