Atkin-Lehner |
2+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
47168d |
Isogeny class |
Conductor |
47168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-17798561792 = -1 · 215 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-940,-12816] |
[a1,a2,a3,a4,a6] |
j |
-2803221000/543169 |
j-invariant |
L |
0.85328437190999 |
L(r)(E,1)/r! |
Ω |
0.42664218593751 |
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 |
47168c2 23584b2 |
Quadratic twists by: -4 8 |