Atkin-Lehner |
2+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680c |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-319523389696000 = -1 · 211 · 53 · 76 · 1032 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6443,-882758] |
[a1,a2,a3,a4,a6] |
j |
-14443024696578/156017280125 |
j-invariant |
L |
2.7701603634917 |
L(r)(E,1)/r! |
Ω |
0.23084669710673 |
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 |
28840e2 |
Quadratic twists by: -4 |