Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
72600bc |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28295372292000000 = 28 · 3 · 56 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-521308,144473888] |
[a1,a2,a3,a4,a6] |
j |
1661168/3 |
j-invariant |
L |
2.9916828295718 |
L(r)(E,1)/r! |
Ω |
0.37396035442886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904h2 72600dj2 |
Quadratic twists by: 5 -11 |