Atkin-Lehner |
2- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
13244d |
Isogeny class |
Conductor |
13244 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-305396097776 = -1 · 24 · 79 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-602,-27391] |
[a1,a2,a3,a4,a6] |
j |
-1510478065408/19087256111 |
j-invariant |
L |
1.2411210953296 |
L(r)(E,1)/r! |
Ω |
0.41370703177653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52976q1 119196q1 92708f1 |
Quadratic twists by: -4 -3 -7 |