Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22344bc |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2253213648 = 24 · 32 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2123,-38298] |
[a1,a2,a3,a4,a6] |
j |
562432000/1197 |
j-invariant |
L |
2.813588199859 |
L(r)(E,1)/r! |
Ω |
0.70339704996476 |
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 |
44688h1 67032r1 3192k1 |
Quadratic twists by: -4 -3 -7 |