Atkin-Lehner |
2- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488q |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
21416677261720832 = 28 · 73 · 139 · 23 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69893,-980311] |
[a1,a2,a3,a4,a6] |
Generators |
[-2373:57122:27] |
Generators of the group modulo torsion |
j |
147499655667712000/83658895553597 |
j-invariant |
L |
8.4800568804049 |
L(r)(E,1)/r! |
Ω |
0.31692893104473 |
Real period |
R |
1.4864981545882 |
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 |
8372g2 |
Quadratic twists by: -4 |