Atkin-Lehner |
3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43365n |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4515136263225 = 32 · 52 · 78 · 592 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5269,-106333] |
[a1,a2,a3,a4,a6] |
j |
137467988281/38378025 |
j-invariant |
L |
4.5775866030064 |
L(r)(E,1)/r! |
Ω |
0.57219832538888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6195c2 |
Quadratic twists by: -7 |