Atkin-Lehner |
2+ 3- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24282f |
Isogeny class |
Conductor |
24282 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-87661719168444 = -1 · 22 · 38 · 196 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9774,-256608] |
[a1,a2,a3,a4,a6] |
Generators |
[39:408:1] |
Generators of the group modulo torsion |
j |
141640742172383/120249271836 |
j-invariant |
L |
4.858079038599 |
L(r)(E,1)/r! |
Ω |
0.3338454827936 |
Real period |
R |
1.212656575418 |
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 |
8094f2 |
Quadratic twists by: -3 |