Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048bw |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
163439535587328 = 217 · 34 · 72 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26488,1549936] |
[a1,a2,a3,a4,a6] |
Generators |
[60:416:1] |
Generators of the group modulo torsion |
j |
501796540869625/39902230368 |
j-invariant |
L |
5.1133520876745 |
L(r)(E,1)/r! |
Ω |
0.5613195088901 |
Real period |
R |
0.56934508852315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006k2 |
Quadratic twists by: -4 |