Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320bb |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
268320 |
Modular degree for the optimal curve |
Δ |
-21074218750000 = -1 · 24 · 513 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- -5 4 13- 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10052,446379] |
[a1,a2,a3,a4,a6] |
Generators |
[53:250:1] |
Generators of the group modulo torsion |
j |
-7020388873322496/1317138671875 |
j-invariant |
L |
5.6984906812274 |
L(r)(E,1)/r! |
Ω |
0.65404238078859 |
Real period |
R |
0.67020953049042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21580c1 |
Quadratic twists by: -4 |