Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550c |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1021296220000000000 = -1 · 211 · 510 · 73 · 533 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 6 7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-84177200,-297297376000] |
[a1,a2,a3,a4,a6] |
j |
-6754716152390425678225/104580732928 |
j-invariant |
L |
3.6634331735829 |
L(r)(E,1)/r! |
Ω |
0.024921314106006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18550v2 129850o2 |
Quadratic twists by: 5 -7 |