Atkin-Lehner |
2- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
23584b |
Isogeny class |
Conductor |
23584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-278102528 = -1 · 29 · 112 · 672 |
Discriminant |
Eigenvalues |
2- 0 0 -4 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235,-1602] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1254:1] |
Generators of the group modulo torsion |
j |
-2803221000/543169 |
j-invariant |
L |
3.5536870764896 |
L(r)(E,1)/r! |
Ω |
0.60336316563333 |
Real period |
R |
2.9448989256407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23584a2 47168d2 |
Quadratic twists by: -4 8 |