Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8085f |
Isogeny class |
Conductor |
8085 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1675137563810813025 = 38 · 52 · 78 · 116 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1762163,-898940832] |
[a1,a2,a3,a4,a6] |
j |
5143681768032498601/14238434358225 |
j-invariant |
L |
0.26211402334541 |
L(r)(E,1)/r! |
Ω |
0.13105701167271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
129360ha2 24255bx2 40425ck2 1155l2 |
Quadratic twists by: -4 -3 5 -7 |