Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bi |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
69506049600 = 26 · 32 · 52 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1070,-4200] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:40:1] |
Generators of the group modulo torsion |
j |
438976/225 |
j-invariant |
L |
6.5401651392869 |
L(r)(E,1)/r! |
Ω |
0.88189657388038 |
Real period |
R |
3.7080114222873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001281 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120bx1 480a1 |
Quadratic twists by: -4 13 |