Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006u |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-12449588698939392 = -1 · 230 · 34 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-118153,-16577353] |
[a1,a2,a3,a4,a6] |
Generators |
[575:10008:1] |
Generators of the group modulo torsion |
j |
-182414014585448388625/12449588698939392 |
j-invariant |
L |
5.1671780048065 |
L(r)(E,1)/r! |
Ω |
0.12824845297554 |
Real period |
R |
0.67150621637413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048ch1 18018o1 42042df1 66066k1 |
Quadratic twists by: -4 -3 -7 -11 |