Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360k |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27587668613529600 = 218 · 312 · 52 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158160,22905792] |
[a1,a2,a3,a4,a6] |
j |
106820960574626641/6735270657600 |
j-invariant |
L |
2.9447072659314 |
L(r)(E,1)/r! |
Ω |
0.36808840824142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2670f2 85440bn2 64080t2 106800cb2 |
Quadratic twists by: -4 8 -3 5 |