Atkin-Lehner |
2+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
53960b |
Isogeny class |
Conductor |
53960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2107812500000000 = 28 · 514 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 4 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33236,-737260] |
[a1,a2,a3,a4,a6] |
Generators |
[862847397727854:-11952024159898628:2797856555571] |
Generators of the group modulo torsion |
j |
15860726074525264/8233642578125 |
j-invariant |
L |
9.1298436534376 |
L(r)(E,1)/r! |
Ω |
0.37424193492351 |
Real period |
R |
24.395565545705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107920f2 |
Quadratic twists by: -4 |