Atkin-Lehner |
3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33759d |
Isogeny class |
Conductor |
33759 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34535457 = 33 · 113 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155,-646] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:9:1] |
Generators of the group modulo torsion |
j |
11390625/961 |
j-invariant |
L |
2.572434430565 |
L(r)(E,1)/r! |
Ω |
1.3610121677776 |
Real period |
R |
0.94504461145474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33759b2 33759a2 |
Quadratic twists by: -3 -11 |