Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048v |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
347660881311744 = 211 · 34 · 7 · 116 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18424,342836] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:858:1] |
Generators of the group modulo torsion |
j |
337729585262834/169756289703 |
j-invariant |
L |
5.7840099023219 |
L(r)(E,1)/r! |
Ω |
0.47715105026184 |
Real period |
R |
0.50508201221334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024d2 |
Quadratic twists by: -4 |