Atkin-Lehner |
2+ 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792k |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
2774016 = 210 · 32 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-397,-2915] |
[a1,a2,a3,a4,a6] |
j |
6774679552/2709 |
j-invariant |
L |
1.0693533312604 |
L(r)(E,1)/r! |
Ω |
1.0693533316799 |
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 |
57792cw1 7224b1 |
Quadratic twists by: -4 8 |