Atkin-Lehner |
2- 3+ 5- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bn |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-487641600 = -1 · 29 · 33 · 52 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-332,2639] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:13:1] [-3:61:1] |
Generators of the group modulo torsion |
j |
-149467669443/18060800 |
j-invariant |
L |
17.839147802132 |
L(r)(E,1)/r! |
Ω |
1.6101805567497 |
Real period |
R |
0.30774926522979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126990b1 |
Quadratic twists by: -3 |