Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040y |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-247911321600 = -1 · 212 · 310 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-11936] |
[a1,a2,a3,a4,a6] |
Generators |
[18:140:1] |
Generators of the group modulo torsion |
j |
107850176/83025 |
j-invariant |
L |
8.0732298729507 |
L(r)(E,1)/r! |
Ω |
0.55008768336329 |
Real period |
R |
1.8345325020675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040bw2 118080bc1 19680bb2 |
Quadratic twists by: -4 8 -3 |