Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440h |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19287654400 = 214 · 52 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1468,-20592] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:21:1] [46:96:1] |
Generators of the group modulo torsion |
j |
21354132816/1177225 |
j-invariant |
L |
9.0128106679598 |
L(r)(E,1)/r! |
Ω |
0.77394036942098 |
Real period |
R |
5.822677704943 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69440cp2 8680n2 |
Quadratic twists by: -4 8 |