Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10384f |
Isogeny class |
Conductor |
10384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1827584 = 28 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 11- 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311,-2110] |
[a1,a2,a3,a4,a6] |
j |
12994659792/7139 |
j-invariant |
L |
0.56845197837146 |
L(r)(E,1)/r! |
Ω |
1.1369039567429 |
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 |
2596a2 41536m2 93456bb2 114224q2 |
Quadratic twists by: -4 8 -3 -11 |