Atkin-Lehner |
2- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
43700k |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-3155140000000 = -1 · 28 · 57 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -3 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21575,1222750] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1450:1] [15:950:1] |
Generators of the group modulo torsion |
j |
-277661799504/788785 |
j-invariant |
L |
8.3256776114807 |
L(r)(E,1)/r! |
Ω |
0.80069854104452 |
Real period |
R |
0.28883382532389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8740a1 |
Quadratic twists by: 5 |