Atkin-Lehner |
2- 3+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520be |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5169398303673753600 = 213 · 3 · 52 · 113 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548960,112176000] |
[a1,a2,a3,a4,a6] |
j |
4466698691554815841/1262060132732850 |
j-invariant |
L |
2.7058972029272 |
L(r)(E,1)/r! |
Ω |
0.22549147818365 |
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 |
14190o4 |
Quadratic twists by: -4 |