Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920ge |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
19518548797440000 = 214 · 38 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122001,-15002001] |
[a1,a2,a3,a4,a6] |
Generators |
[-201:1200:1] |
Generators of the group modulo torsion |
j |
12257375872392016/1191317675625 |
j-invariant |
L |
6.3069621287612 |
L(r)(E,1)/r! |
Ω |
0.25704728764855 |
Real period |
R |
1.5335121276958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001197 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920o2 18480m2 |
Quadratic twists by: -4 8 |