Atkin-Lehner |
2- 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44304j |
Isogeny class |
Conductor |
44304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-77302968877056 = -1 · 231 · 3 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -3 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10600,53652] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:4096:27] |
Generators of the group modulo torsion |
j |
32154398375399/18872795136 |
j-invariant |
L |
6.4216589293112 |
L(r)(E,1)/r! |
Ω |
0.3708196047607 |
Real period |
R |
2.1646842719686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538c1 |
Quadratic twists by: -4 |