Atkin-Lehner |
2+ 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450x |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20033343750 = 2 · 3 · 56 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71226,-7322402] |
[a1,a2,a3,a4,a6] |
j |
2557470230629777/1282134 |
j-invariant |
L |
2.3379254274759 |
L(r)(E,1)/r! |
Ω |
0.29224067298727 |
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 |
3738c3 |
Quadratic twists by: 5 |