Atkin-Lehner |
2- 3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
59568bf |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1394427312 = -1 · 24 · 35 · 173 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -4 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,267,-558] |
[a1,a2,a3,a4,a6] |
Generators |
[6:36:1] [18:102:1] |
Generators of the group modulo torsion |
j |
131072000000/87151707 |
j-invariant |
L |
11.212081124461 |
L(r)(E,1)/r! |
Ω |
0.86434908217109 |
Real period |
R |
0.86478031894987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892d1 |
Quadratic twists by: -4 |