Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
11328o |
Isogeny class |
Conductor |
11328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-171530648027136 = -1 · 219 · 33 · 594 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13791,-96831] |
[a1,a2,a3,a4,a6] |
Generators |
[419817:52348780:27] |
Generators of the group modulo torsion |
j |
1106469823607/654337494 |
j-invariant |
L |
3.738820788164 |
L(r)(E,1)/r! |
Ω |
0.33504302605069 |
Real period |
R |
11.159225823129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11328d4 2832b4 33984bl3 |
Quadratic twists by: -4 8 -3 |