Atkin-Lehner |
3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33033l |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
760759668669 = 3 · 7 · 118 · 132 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 11- 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14197,-645030] |
[a1,a2,a3,a4,a6] |
Generators |
[-1806:773:27] |
Generators of the group modulo torsion |
j |
1476395008/3549 |
j-invariant |
L |
3.1373175818457 |
L(r)(E,1)/r! |
Ω |
0.4374320435714 |
Real period |
R |
1.1953542757677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099br1 33033e1 |
Quadratic twists by: -3 -11 |