Atkin-Lehner |
2+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880w |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
85606400 = 214 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11+ 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4465,116337] |
[a1,a2,a3,a4,a6] |
j |
600987480784/5225 |
j-invariant |
L |
3.4504758757331 |
L(r)(E,1)/r! |
Ω |
1.7252379415029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880du2 8360e2 |
Quadratic twists by: -4 8 |