Atkin-Lehner |
2- 3+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726l |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
118079886078 = 2 · 33 · 7 · 11 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22287,-1289817] |
[a1,a2,a3,a4,a6] |
Generators |
[-9619152:5687455:110592] |
Generators of the group modulo torsion |
j |
1224277221519000433/118079886078 |
j-invariant |
L |
8.3196927548033 |
L(r)(E,1)/r! |
Ω |
0.39074107167809 |
Real period |
R |
10.646043323618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178m4 |
Quadratic twists by: -3 |