Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bn |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
467640657120000000 = 211 · 3 · 57 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2724008,1729235988] |
[a1,a2,a3,a4,a6] |
j |
69855246474511682/14613770535 |
j-invariant |
L |
2.3012516548673 |
L(r)(E,1)/r! |
Ω |
0.28765648202315 |
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 |
54600g6 21840j6 |
Quadratic twists by: -4 5 |