Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472bh |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
168345796608 = 216 · 35 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3233,-66879] |
[a1,a2,a3,a4,a6] |
j |
57042062500/2568753 |
j-invariant |
L |
1.2697708037421 |
L(r)(E,1)/r! |
Ω |
0.63488539989708 |
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 |
65472bf1 16368l1 |
Quadratic twists by: -4 8 |