Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768s |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25639916027904 = -1 · 214 · 39 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 -3 1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273756,55131248] |
[a1,a2,a3,a4,a6] |
j |
-189962197148752/2146689 |
j-invariant |
L |
4.8627506117965 |
L(r)(E,1)/r! |
Ω |
0.60784382647455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24768cr2 1548e2 8256i2 |
Quadratic twists by: -4 8 -3 |