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 |
6071916032 = 29 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1091,-13354] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:177:8] |
Generators of the group modulo torsion |
j |
280496859336/11859211 |
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 |
55328e3 110656k3 |
Quadratic twists by: -4 8 |