Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24966i |
Isogeny class |
Conductor |
24966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-831068208 = -1 · 24 · 33 · 192 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,169,1055] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-62:1] [1:34:1] |
Generators of the group modulo torsion |
j |
19880486829/30780304 |
j-invariant |
L |
9.4788643661117 |
L(r)(E,1)/r! |
Ω |
1.0792546320119 |
Real period |
R |
1.0978484693231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24966b2 |
Quadratic twists by: -3 |