Atkin-Lehner |
2- 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360q |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4610216832000 = 210 · 3 · 53 · 13 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104320,-12933668] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:20:1] |
Generators of the group modulo torsion |
j |
122611344220638724/4502164875 |
j-invariant |
L |
4.209202260122 |
L(r)(E,1)/r! |
Ω |
0.26564905173884 |
Real period |
R |
1.3204144818661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720v4 |
Quadratic twists by: -4 |