Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ce |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-180317491200 = -1 · 212 · 33 · 52 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-866,-22732] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1561:1] |
Generators of the group modulo torsion |
j |
-58535617105/147197952 |
j-invariant |
L |
5.5886878263186 |
L(r)(E,1)/r! |
Ω |
0.40983251821526 |
Real period |
R |
2.272752720039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850fa1 80850b1 |
Quadratic twists by: 5 -7 |