Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600be |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8.9807958984375E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19463408,-29733028188] |
[a1,a2,a3,a4,a6] |
Generators |
[-305779086661536:-2125110253906250:163039787847] |
Generators of the group modulo torsion |
j |
101927273506578172232/11225994873046875 |
j-invariant |
L |
5.0066471455483 |
L(r)(E,1)/r! |
Ω |
0.072391708580904 |
Real period |
R |
17.290126328392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600u2 13920l2 |
Quadratic twists by: -4 5 |