Atkin-Lehner |
2- 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224q |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
653150594304 = 28 · 39 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,2468] |
[a1,a2,a3,a4,a6] |
Generators |
[88:702:1] [-32:198:1] |
Generators of the group modulo torsion |
j |
6072054784/3499821 |
j-invariant |
L |
9.8735386915997 |
L(r)(E,1)/r! |
Ω |
0.77481213301087 |
Real period |
R |
0.53096412401894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448u1 18408d1 |
Quadratic twists by: -4 -3 |