Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592bc |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
613890027159552 = 224 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153651,23151346] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:6656:1] |
Generators of the group modulo torsion |
j |
134351465835313/205590528 |
j-invariant |
L |
3.2261500827137 |
L(r)(E,1)/r! |
Ω |
0.51389224997095 |
Real period |
R |
1.5694681535361 |
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 |
2574m1 82368fc1 6864y1 |
Quadratic twists by: -4 8 -3 |