Atkin-Lehner |
3+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89661g |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17068800 |
Modular degree for the optimal curve |
Δ |
3.3706530834004E+20 |
Discriminant |
Eigenvalues |
2 3+ 4 1 11- 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-58360276,-171580975611] |
[a1,a2,a3,a4,a6] |
Generators |
[-69814255358279562727415270527512774131436076147999030:22228151962216574829927759115935055762227776824278509:15847168557791699540922480090111881315817326333000] |
Generators of the group modulo torsion |
j |
12408509569080558997504/190264579283493 |
j-invariant |
L |
16.530887384556 |
L(r)(E,1)/r! |
Ω |
0.054622380011572 |
Real period |
R |
75.659864056886 |
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 |
8151b1 |
Quadratic twists by: -11 |