Atkin-Lehner |
2+ 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
57936a |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1327099628544 = -1 · 210 · 3 · 17 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-592,-55900] |
[a1,a2,a3,a4,a6] |
j |
-22445137732/1295995731 |
j-invariant |
L |
6.7837200116782 |
L(r)(E,1)/r! |
Ω |
0.376873334105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28968b3 |
Quadratic twists by: -4 |