Atkin-Lehner |
2- 3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48360q |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5846724000000 = 28 · 32 · 56 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6820,-180668] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:150:1] |
Generators of the group modulo torsion |
j |
137056787714896/22838765625 |
j-invariant |
L |
4.209202260122 |
L(r)(E,1)/r! |
Ω |
0.53129810347767 |
Real period |
R |
0.66020724093303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720v2 |
Quadratic twists by: -4 |