Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240n |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
3751142400 = 210 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-6878] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:18:1] |
Generators of the group modulo torsion |
j |
55990084/5025 |
j-invariant |
L |
6.0164112992202 |
L(r)(E,1)/r! |
Ω |
0.92597466388903 |
Real period |
R |
0.8121727750518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120q1 16080j1 |
Quadratic twists by: -4 -3 |