Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600bf |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4541400000000 = 29 · 33 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8408,-275688] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:116:1] |
Generators of the group modulo torsion |
j |
8217949832/567675 |
j-invariant |
L |
4.0536203257044 |
L(r)(E,1)/r! |
Ω |
0.50073320703972 |
Real period |
R |
4.0476847430924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600v2 13920m2 |
Quadratic twists by: -4 5 |