Atkin-Lehner |
2- 3- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
112140l |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-55457424036000000 = -1 · 28 · 36 · 56 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81873,6860646] |
[a1,a2,a3,a4,a6] |
j |
325220812850736/297161265625 |
j-invariant |
L |
2.7707889742262 |
L(r)(E,1)/r! |
Ω |
0.23089913524158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12460a2 |
Quadratic twists by: -3 |