Atkin-Lehner |
2- 3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560bi |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9933086822400 = 212 · 32 · 52 · 74 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5416,-21584] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:360:1] |
Generators of the group modulo torsion |
j |
4290223486249/2425070025 |
j-invariant |
L |
4.2007958325384 |
L(r)(E,1)/r! |
Ω |
0.59989083069087 |
Real period |
R |
1.7506501303878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730258 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7035h2 |
Quadratic twists by: -4 |