Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120ba |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
4968000 = 26 · 33 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2877,59396] |
[a1,a2,a3,a4,a6] |
Generators |
[32:10:1] |
Generators of the group modulo torsion |
j |
1524051208512/2875 |
j-invariant |
L |
4.2930735884053 |
L(r)(E,1)/r! |
Ω |
2.0841745645248 |
Real period |
R |
0.68661452539829 |
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 |
33120f1 66240h1 33120b1 |
Quadratic twists by: -4 8 -3 |