Atkin-Lehner |
2+ 3+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57072f |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-2339952 = -1 · 24 · 3 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -5 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,-57] |
[a1,a2,a3,a4,a6] |
j |
146377472/146247 |
j-invariant |
L |
2.8148838579725 |
L(r)(E,1)/r! |
Ω |
1.407441930191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28536g1 |
Quadratic twists by: -4 |