Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1122b |
Isogeny class |
Conductor |
1122 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
483711578981136 = 24 · 310 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31399,1848805] |
[a1,a2,a3,a4,a6] |
j |
3423676911662954233/483711578981136 |
j-invariant |
L |
1.5122187932444 |
L(r)(E,1)/r! |
Ω |
0.50407293108147 |
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 |
8976x2 35904bb2 3366o2 28050do2 |
Quadratic twists by: -4 8 -3 5 |