Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
39432g |
Isogeny class |
Conductor |
39432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-32740547328 = -1 · 28 · 34 · 313 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -2 6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,271,-8445] |
[a1,a2,a3,a4,a6] |
Generators |
[22:93:1] |
Generators of the group modulo torsion |
j |
8566197248/127892763 |
j-invariant |
L |
7.1578759501226 |
L(r)(E,1)/r! |
Ω |
0.57097005489046 |
Real period |
R |
0.52234758846039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78864c1 118296f1 |
Quadratic twists by: -4 -3 |