Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150bi |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-70029375000 = -1 · 23 · 3 · 57 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 13+ 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-612938,-184957969] |
[a1,a2,a3,a4,a6] |
j |
-1629871520330191321/4481880 |
j-invariant |
L |
1.0237564820514 |
L(r)(E,1)/r! |
Ω |
0.085313040170888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450ba2 6630m2 |
Quadratic twists by: -3 5 |