Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350ct |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1238685546875000 = 23 · 512 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27063,-274219] |
[a1,a2,a3,a4,a6] |
j |
409014195967/231125000 |
j-invariant |
L |
4.8143268235165 |
L(r)(E,1)/r! |
Ω |
0.4011939112709 |
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 |
21070k2 105350cw2 |
Quadratic twists by: 5 -7 |