Atkin-Lehner |
2+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6448a |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-80554864 = -1 · 24 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 2 -1 1 2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536,4979] |
[a1,a2,a3,a4,a6] |
Generators |
[7:39:1] |
Generators of the group modulo torsion |
j |
-1066370439424/5034679 |
j-invariant |
L |
5.4169787309845 |
L(r)(E,1)/r! |
Ω |
1.9363060066468 |
Real period |
R |
1.398792007149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3224c1 25792be1 58032c1 83824g1 |
Quadratic twists by: -4 8 -3 13 |