Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320h |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-18024934400 = -1 · 210 · 52 · 113 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187,6534] |
[a1,a2,a3,a4,a6] |
Generators |
[23:120:1] |
Generators of the group modulo torsion |
j |
-530604/13225 |
j-invariant |
L |
7.263680845115 |
L(r)(E,1)/r! |
Ω |
1.0282242229903 |
Real period |
R |
1.7660741366377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111320r2 |
Quadratic twists by: -11 |