Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5775o |
Isogeny class |
Conductor |
5775 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9497111572265625 = 38 · 512 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-406188,-99564633] |
[a1,a2,a3,a4,a6] |
j |
474334834335054841/607815140625 |
j-invariant |
L |
1.5130078504453 |
L(r)(E,1)/r! |
Ω |
0.18912598130566 |
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 |
92400em2 17325q2 1155f2 40425m2 |
Quadratic twists by: -4 -3 5 -7 |