Atkin-Lehner |
2+ 3+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486b |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-37927222272 = -1 · 210 · 36 · 23 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,771,4797] |
[a1,a2,a3,a4,a6] |
Generators |
[21:165:1] |
Generators of the group modulo torsion |
j |
50583213074087/37927222272 |
j-invariant |
L |
3.1373780305915 |
L(r)(E,1)/r! |
Ω |
0.73715896849944 |
Real period |
R |
2.1280199825676 |
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 |
51888y1 19458o1 |
Quadratic twists by: -4 -3 |