Atkin-Lehner |
3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12087g |
Isogeny class |
Conductor |
12087 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-1522375985979 = -1 · 315 · 17 · 792 |
Discriminant |
Eigenvalues |
0 3- -1 -2 -3 -5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3558,-100980] |
[a1,a2,a3,a4,a6] |
Generators |
[80:355:1] [194:2551:1] |
Generators of the group modulo torsion |
j |
-6833040818176/2088307251 |
j-invariant |
L |
4.9581343670766 |
L(r)(E,1)/r! |
Ω |
0.30430534789678 |
Real period |
R |
2.0366608742441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4029a1 |
Quadratic twists by: -3 |