Atkin-Lehner |
2- 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090z |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-9672000 = -1 · 26 · 3 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 13- 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-136,-640] |
[a1,a2,a3,a4,a6] |
j |
-278317173889/9672000 |
j-invariant |
L |
4.1853635620614 |
L(r)(E,1)/r! |
Ω |
0.6975605936769 |
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 |
96720bu1 36270y1 60450b1 |
Quadratic twists by: -4 -3 5 |