Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042d |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8989320386052055296 = 28 · 316 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1976571,-1059322523] |
[a1,a2,a3,a4,a6] |
j |
242702053576633/2554695936 |
j-invariant |
L |
1.0192660461285 |
L(r)(E,1)/r! |
Ω |
0.12740825576606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24336bs2 97344ci2 1014e2 76050ey2 |
Quadratic twists by: -4 8 -3 5 |