Atkin-Lehner |
3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135k |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
4548096 |
Modular degree for the optimal curve |
Δ |
1.4236080744165E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -5 -4 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129101738,-564588556837] |
[a1,a2,a3,a4,a6] |
j |
9993948576518041/597871125 |
j-invariant |
L |
1.8811238173788 |
L(r)(E,1)/r! |
Ω |
0.044788662318624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99405i1 33135i1 |
Quadratic twists by: -3 -47 |