Atkin-Lehner |
2- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488p |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1521899934464 = -1 · 28 · 76 · 133 · 23 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 3 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1651,52897] |
[a1,a2,a3,a4,a6] |
Generators |
[429:8918:1] |
Generators of the group modulo torsion |
j |
1942951190528/5944921619 |
j-invariant |
L |
5.7409644384449 |
L(r)(E,1)/r! |
Ω |
0.59803818009844 |
Real period |
R |
0.7999718397996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8372e2 |
Quadratic twists by: -4 |