Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55328a |
Isogeny class |
Conductor |
55328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-15559118848 = -1 · 212 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,484,4384] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1608:1] |
Generators of the group modulo torsion |
j |
3061257408/3798613 |
j-invariant |
L |
3.5908701291728 |
L(r)(E,1)/r! |
Ω |
0.83286727386384 |
Real period |
R |
4.3114554285417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55328e2 110656k1 |
Quadratic twists by: -4 8 |