Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4770b |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
40749960937500 = 22 · 39 · 510 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28770,1860200] |
[a1,a2,a3,a4,a6] |
j |
133801350353523/2070312500 |
j-invariant |
L |
1.2923025004515 |
L(r)(E,1)/r! |
Ω |
0.64615125022573 |
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 |
38160u2 4770w2 23850bu2 |
Quadratic twists by: -4 -3 5 |