Atkin-Lehner |
2+ 3+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558a |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1955805979554 = 2 · 312 · 72 · 17 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8171,-279645] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:99:1] |
Generators of the group modulo torsion |
j |
60343762992513337/1955805979554 |
j-invariant |
L |
1.9596643243709 |
L(r)(E,1)/r! |
Ω |
0.50313701679147 |
Real period |
R |
1.9474459828732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674bi2 |
Quadratic twists by: -3 |