Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1122h |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1370924676 = 22 · 34 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-407,2441] |
[a1,a2,a3,a4,a6] |
j |
7457162887153/1370924676 |
j-invariant |
L |
2.893488517924 |
L(r)(E,1)/r! |
Ω |
1.446744258962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8976bc2 35904bg2 3366c2 28050bi2 |
Quadratic twists by: -4 8 -3 5 |