Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592j |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-31704431616 = -1 · 210 · 39 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,789,-790] |
[a1,a2,a3,a4,a6] |
Generators |
[13:108:1] |
Generators of the group modulo torsion |
j |
72765788/42471 |
j-invariant |
L |
3.3244915554344 |
L(r)(E,1)/r! |
Ω |
0.69072532583261 |
Real period |
R |
0.60163053081682 |
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 |
10296c1 82368eg1 6864b1 |
Quadratic twists by: -4 8 -3 |