Atkin-Lehner |
3+ 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20559b |
Isogeny class |
Conductor |
20559 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-2898030483850125393 = -1 · 33 · 712 · 11 · 893 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11- 1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,350389,-18167334] |
[a1,a2,a3,a4,a6] |
Generators |
[706:23766:1] |
Generators of the group modulo torsion |
j |
4757438318938453326023/2898030483850125393 |
j-invariant |
L |
3.5350420216494 |
L(r)(E,1)/r! |
Ω |
0.14734156720523 |
Real period |
R |
3.9986928431014 |
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 |
61677d1 |
Quadratic twists by: -3 |