Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144u |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
180942412972032 = 222 · 36 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3- -4 2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14200,68564] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:354:1] |
Generators of the group modulo torsion |
j |
77314220407801/44175393792 |
j-invariant |
L |
6.8232060046416 |
L(r)(E,1)/r! |
Ω |
0.4879829471511 |
Real period |
R |
1.1652056771763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018c1 |
Quadratic twists by: -4 |