Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120bd |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-188245551000000 = -1 · 26 · 3 · 56 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11886,831336] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:1014:1] [35:676:1] |
Generators of the group modulo torsion |
j |
-601211584/609375 |
j-invariant |
L |
8.0770796410219 |
L(r)(E,1)/r! |
Ω |
0.51660420066063 |
Real period |
R |
3.9087369162311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81120bs1 6240h1 |
Quadratic twists by: -4 13 |