Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800bc |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1072000000000 = -1 · 213 · 59 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,-48012] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1000:1] |
Generators of the group modulo torsion |
j |
1685159/16750 |
j-invariant |
L |
3.0260302559886 |
L(r)(E,1)/r! |
Ω |
0.43092299783645 |
Real period |
R |
0.43888790328862 |
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 |
3350e1 107200by1 5360o1 |
Quadratic twists by: -4 8 5 |