Atkin-Lehner |
2- 3+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65424g |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
32559169536 = 215 · 36 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 4 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3056,65472] |
[a1,a2,a3,a4,a6] |
Generators |
[26:54:1] |
Generators of the group modulo torsion |
j |
770842973809/7949016 |
j-invariant |
L |
4.3598507258403 |
L(r)(E,1)/r! |
Ω |
1.1733364839904 |
Real period |
R |
0.92894297262483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8178j1 |
Quadratic twists by: -4 |