Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360cy |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4.72710151296E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30245680,64033278400] |
[a1,a2,a3,a4,a6] |
Generators |
[-4040:346800:1] |
Generators of the group modulo torsion |
j |
30949975477232209/478125000 |
j-invariant |
L |
3.6733767411211 |
L(r)(E,1)/r! |
Ω |
0.18428199569369 |
Real period |
R |
1.245840894234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000602 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8670bb3 4080bb3 |
Quadratic twists by: -4 17 |