Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11844d |
Isogeny class |
Conductor |
11844 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
170401650386688 = 28 · 316 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34599,2396158] |
[a1,a2,a3,a4,a6] |
j |
24544085702992/913074687 |
j-invariant |
L |
3.407638217145 |
L(r)(E,1)/r! |
Ω |
0.5679397028575 |
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 |
47376bm2 3948b2 82908x2 |
Quadratic twists by: -4 -3 -7 |