Atkin-Lehner |
3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33489d |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5176097450926587 = 33 · 618 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45350,1366130] |
[a1,a2,a3,a4,a6] |
Generators |
[12:901:1] |
Generators of the group modulo torsion |
j |
7414875/3721 |
j-invariant |
L |
3.6799195894716 |
L(r)(E,1)/r! |
Ω |
0.3810898537166 |
Real period |
R |
4.8281521452005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33489c2 549a2 |
Quadratic twists by: -3 61 |