Atkin-Lehner |
3+ 5+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495d |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.3007900210774E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-902093,-235952598] |
[a1,a2,a3,a4,a6] |
j |
81185487494691934830169/23007900210773797935 |
j-invariant |
L |
1.8989517744475 |
L(r)(E,1)/r! |
Ω |
0.15824598120407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485bc4 |
Quadratic twists by: -3 |