Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bb |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-82637107200 = -1 · 212 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,14704] |
[a1,a2,a3,a4,a6] |
Generators |
[20:108:1] [-12:140:1] |
Generators of the group modulo torsion |
j |
-6229504/27675 |
j-invariant |
L |
10.133961159465 |
L(r)(E,1)/r! |
Ω |
0.94043083975742 |
Real period |
R |
0.67349192060762 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040bz1 118080bo1 19680x1 |
Quadratic twists by: -4 8 -3 |