Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592u |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-519445407596544 = -1 · 224 · 39 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4941,1088370] |
[a1,a2,a3,a4,a6] |
Generators |
[82:1430:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
6.4053085217332 |
L(r)(E,1)/r! |
Ω |
0.39453847641191 |
Real period |
R |
4.0587350186892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574a1 82368cv1 20592p1 |
Quadratic twists by: -4 8 -3 |