Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135h |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.7106185580786E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2380244,1066993817] |
[a1,a2,a3,a4,a6] |
Generators |
[-230851211967072:-46968944686200161:1209992380416] |
Generators of the group modulo torsion |
j |
138356873478361/34423828125 |
j-invariant |
L |
6.7404330579842 |
L(r)(E,1)/r! |
Ω |
0.15904873479436 |
Real period |
R |
21.189835513935 |
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 |
99405r4 705f3 |
Quadratic twists by: -3 -47 |