Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792ce |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
721423106050752 = 26 · 310 · 74 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102040,-12445274] |
[a1,a2,a3,a4,a6] |
j |
1835943635853411904/11272236032043 |
j-invariant |
L |
0.26721891514572 |
L(r)(E,1)/r! |
Ω |
0.26721891762782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792di1 28896r2 |
Quadratic twists by: -4 8 |