Atkin-Lehner |
2- 3+ 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558s |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
540988518 = 2 · 3 · 74 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-496,-4309] |
[a1,a2,a3,a4,a6] |
j |
13496571664129/540988518 |
j-invariant |
L |
4.0565478850524 |
L(r)(E,1)/r! |
Ω |
1.0141369712649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674m2 |
Quadratic twists by: -3 |