Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850dt |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-53571142732800 = -1 · 210 · 3 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1322,352211] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:553:1] |
Generators of the group modulo torsion |
j |
1772855/371712 |
j-invariant |
L |
8.9353294639671 |
L(r)(E,1)/r! |
Ω |
0.4869850019409 |
Real period |
R |
0.30580440290098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850cw1 80850gk1 |
Quadratic twists by: 5 -7 |