Atkin-Lehner |
3- 7- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
33117d |
Isogeny class |
Conductor |
33117 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1410088743 = 34 · 7 · 192 · 832 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-333,1458] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:60:1] |
Generators of the group modulo torsion |
j |
4084490796625/1410088743 |
j-invariant |
L |
4.571971416758 |
L(r)(E,1)/r! |
Ω |
1.3946906149315 |
Real period |
R |
0.81953147311149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99351f2 |
Quadratic twists by: -3 |