Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840m |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27097804800 = 212 · 37 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-78208] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:20:1] |
Generators of the group modulo torsion |
j |
1544804416/9075 |
j-invariant |
L |
4.8934594901077 |
L(r)(E,1)/r! |
Ω |
0.6223481909407 |
Real period |
R |
0.98286207812202 |
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 |
15840e2 31680dk1 5280l2 79200ec2 |
Quadratic twists by: -4 8 -3 5 |