Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33813g |
Isogeny class |
Conductor |
33813 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1123857305562069 = 36 · 13 · 179 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3066633,-2066234540] |
[a1,a2,a3,a4,a6] |
j |
36892780289/13 |
j-invariant |
L |
0.45634584151101 |
L(r)(E,1)/r! |
Ω |
0.1140864603802 |
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 |
3757c2 33813f2 |
Quadratic twists by: -3 17 |