Atkin-Lehner |
2- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344cn |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
975345975296 = 215 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10337,405185] |
[a1,a2,a3,a4,a6] |
j |
3728201174216/29765197 |
j-invariant |
L |
3.5380445039997 |
L(r)(E,1)/r! |
Ω |
0.88451129182798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344eo2 56672f2 |
Quadratic twists by: -4 8 |