Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
588f |
Isogeny class |
Conductor |
588 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1897443072 = 28 · 32 · 77 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1780,28244] |
[a1,a2,a3,a4,a6] |
j |
20720464/63 |
j-invariant |
L |
1.4860025529283 |
L(r)(E,1)/r! |
Ω |
1.4860025529283 |
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 |
2352p2 9408r2 1764k2 14700h2 |
Quadratic twists by: -4 8 -3 5 |