Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850df |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
9216000 |
Modular degree for the optimal curve |
Δ |
3.7302869163656E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-143879951,664263901298] |
[a1,a2,a3,a4,a6] |
Generators |
[6171:-109808:1] |
Generators of the group modulo torsion |
j |
1433528304665250149/162339408 |
j-invariant |
L |
6.5542515207192 |
L(r)(E,1)/r! |
Ω |
0.15888503320689 |
Real period |
R |
1.0312883766566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850fh1 11550n1 |
Quadratic twists by: 5 -7 |