Atkin-Lehner |
3+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12087b |
Isogeny class |
Conductor |
12087 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
10479429 = 33 · 173 · 79 |
Discriminant |
Eigenvalues |
-2 3+ -3 -1 -4 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2349,-43820] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:0:1] |
Generators of the group modulo torsion |
j |
53089544392704/388127 |
j-invariant |
L |
1.5540961905278 |
L(r)(E,1)/r! |
Ω |
0.68577080315348 |
Real period |
R |
1.1331017472466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12087d1 |
Quadratic twists by: -3 |