Atkin-Lehner |
2+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20650j |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-8528450000000 = -1 · 27 · 58 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ -1 0 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-107075,13442125] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:5245:1] [129:1276:1] |
Generators of the group modulo torsion |
j |
-347563581743065/21832832 |
j-invariant |
L |
4.6232257450694 |
L(r)(E,1)/r! |
Ω |
0.69656389327401 |
Real period |
R |
0.55309902768322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20650u1 |
Quadratic twists by: 5 |