Atkin-Lehner |
2- 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85848z |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1925995072512 = -1 · 210 · 3 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,-57408] |
[a1,a2,a3,a4,a6] |
Generators |
[3280:13896:125] |
Generators of the group modulo torsion |
j |
6740636/15987 |
j-invariant |
L |
10.861757366904 |
L(r)(E,1)/r! |
Ω |
0.43016963444689 |
Real period |
R |
6.3124849430546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752e2 |
Quadratic twists by: -7 |