Atkin-Lehner |
2+ 3+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
57072d |
Isogeny class |
Conductor |
57072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-1243546430832 = -1 · 24 · 313 · 29 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 3 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26252,1646823] |
[a1,a2,a3,a4,a6] |
j |
-125056842563607808/77721651927 |
j-invariant |
L |
1.7061711323692 |
L(r)(E,1)/r! |
Ω |
0.85308556560343 |
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 |
28536f1 |
Quadratic twists by: -4 |