Atkin-Lehner |
2+ 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360d |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
569457920 = 28 · 5 · 232 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14116,650256] |
[a1,a2,a3,a4,a6] |
j |
1215204758952784/2224445 |
j-invariant |
L |
2.8049072983919 |
L(r)(E,1)/r! |
Ω |
1.4024536485539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26680a2 |
Quadratic twists by: -4 |