Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11844d |
Isogeny class |
Conductor |
11844 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
6527512656 = 24 · 311 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34284,2443345] |
[a1,a2,a3,a4,a6] |
j |
382076793536512/559629 |
j-invariant |
L |
3.407638217145 |
L(r)(E,1)/r! |
Ω |
1.135879405715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376bm1 3948b1 82908x1 |
Quadratic twists by: -4 -3 -7 |