Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33033y |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1478880 |
Modular degree for the optimal curve |
Δ |
-1.436450258848E+20 |
Discriminant |
Eigenvalues |
2 3- -2 7- 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-341524,-581846699] |
[a1,a2,a3,a4,a6] |
Generators |
[4350344:399888695:512] |
Generators of the group modulo torsion |
j |
-3309867537183567872/107922634023138753 |
j-invariant |
L |
12.018741483864 |
L(r)(E,1)/r! |
Ω |
0.079921618219947 |
Real period |
R |
5.7839080105806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099bn1 33033r1 |
Quadratic twists by: -3 -11 |