Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775d |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
222475536847265625 = 38 · 58 · 72 · 116 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-899063,326960156] |
[a1,a2,a3,a4,a6] |
Generators |
[236:11195:1] |
Generators of the group modulo torsion |
j |
5143681768032498601/14238434358225 |
j-invariant |
L |
1.7817210601578 |
L(r)(E,1)/r! |
Ω |
0.31578676125366 |
Real period |
R |
2.8210825765533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400hp2 17325r2 1155l2 40425ck2 |
Quadratic twists by: -4 -3 5 -7 |