Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282u |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.1914442639029E+19 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 3 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3472769,2501962129] |
[a1,a2,a3,a4,a6] |
Generators |
[1559:-30364:1] |
Generators of the group modulo torsion |
j |
-37226247219/176128 |
j-invariant |
L |
7.7994610666804 |
L(r)(E,1)/r! |
Ω |
0.21581871085842 |
Real period |
R |
0.37644737005472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33282e1 774a2 |
Quadratic twists by: -3 -43 |