Atkin-Lehner |
3+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
12087d |
Isogeny class |
Conductor |
12087 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27072 |
Modular degree for the optimal curve |
Δ |
7639503741 = 39 · 173 · 79 |
Discriminant |
Eigenvalues |
2 3+ 3 -1 4 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21141,1183133] |
[a1,a2,a3,a4,a6] |
j |
53089544392704/388127 |
j-invariant |
L |
7.0830143892123 |
L(r)(E,1)/r! |
Ω |
1.180502398202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12087b1 |
Quadratic twists by: -3 |