Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
81984cx |
Isogeny class |
Conductor |
81984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
19922112 = 26 · 36 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560,4914] |
[a1,a2,a3,a4,a6] |
Generators |
[1:66:1] |
Generators of the group modulo torsion |
j |
304006671424/311283 |
j-invariant |
L |
6.5264459899768 |
L(r)(E,1)/r! |
Ω |
2.1539396658669 |
Real period |
R |
2.0200027236171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81984bu1 40992e2 |
Quadratic twists by: -4 8 |