Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840bn |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12401049600 = 216 · 32 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-961,-10465] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:36:1] [-14:21:1] |
Generators of the group modulo torsion |
j |
1499221444/189225 |
j-invariant |
L |
8.1563765222857 |
L(r)(E,1)/r! |
Ω |
0.8645091589544 |
Real period |
R |
4.7173453501349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27840cj2 3480c2 83520di2 |
Quadratic twists by: -4 8 -3 |