Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ee |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-10432654848000 = -1 · 212 · 37 · 53 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121152,-16231696] |
[a1,a2,a3,a4,a6] |
j |
-65860951343104/3493875 |
j-invariant |
L |
1.5353831688862 |
L(r)(E,1)/r! |
Ω |
0.1279485974924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3465s2 18480bq2 |
Quadratic twists by: -4 -3 |