Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870z |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
493974409500 = 22 · 312 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-263934,52256488] |
[a1,a2,a3,a4,a6] |
Generators |
[287:149:1] |
Generators of the group modulo torsion |
j |
2789222297765780449/677605500 |
j-invariant |
L |
3.5441640255702 |
L(r)(E,1)/r! |
Ω |
0.74214446000052 |
Real period |
R |
0.39796430216651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960ec2 4290r2 64350eh2 |
Quadratic twists by: -4 -3 5 |