Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240df |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
160211179929600 = 219 · 312 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139692,20086576] |
[a1,a2,a3,a4,a6] |
j |
1577505447721/838350 |
j-invariant |
L |
4.5427277989531 |
L(r)(E,1)/r! |
Ω |
0.56784097440622 |
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 |
66240fr2 2070p2 22080bb2 |
Quadratic twists by: -4 8 -3 |