Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872bp |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-3501080576 = -1 · 214 · 74 · 89 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -4 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,2896] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-56:1] [-10:56:1] |
Generators of the group modulo torsion |
j |
-12869712/213689 |
j-invariant |
L |
4.3749757659322 |
L(r)(E,1)/r! |
Ω |
1.187363962896 |
Real period |
R |
0.23028826367926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872k1 9968p1 |
Quadratic twists by: -4 8 |