Atkin-Lehner |
3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
78045i |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
97115553626679225 = 34 · 52 · 1110 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9443447,-11173688016] |
[a1,a2,a3,a4,a6] |
j |
52572582932532371281/54819198225 |
j-invariant |
L |
0.68898050849052 |
L(r)(E,1)/r! |
Ω |
0.086122561639608 |
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 |
7095c2 |
Quadratic twists by: -11 |