Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6006g |
Isogeny class |
Conductor |
6006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
10959556608 = 212 · 35 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55764,5045328] |
[a1,a2,a3,a4,a6] |
Generators |
[161:442:1] |
Generators of the group modulo torsion |
j |
19177749277229260873/10959556608 |
j-invariant |
L |
3.0045125755789 |
L(r)(E,1)/r! |
Ω |
1.0523472225461 |
Real period |
R |
2.8550582081735 |
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 |
48048ca1 18018bl1 42042bs1 66066bp1 |
Quadratic twists by: -4 -3 -7 -11 |