Atkin-Lehner |
2- 3- 5+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85410w |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7375936069125000 = -1 · 23 · 314 · 56 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3352,4130547] |
[a1,a2,a3,a4,a6] |
j |
5715176842439/10117882125000 |
j-invariant |
L |
3.9316895782112 |
L(r)(E,1)/r! |
Ω |
0.32764080511592 |
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 |
28470e2 |
Quadratic twists by: -3 |