Atkin-Lehner |
7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1001b |
Isogeny class |
Conductor |
1001 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4463459 = 74 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 0 -2 7+ 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9916,-377564] |
[a1,a2,a3,a4,a6] |
j |
107818231938348177/4463459 |
j-invariant |
L |
0.47843048872809 |
L(r)(E,1)/r! |
Ω |
0.47843048872809 |
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 |
16016j4 64064a4 9009c4 25025k4 |
Quadratic twists by: -4 8 -3 5 |