Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600s |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
307520000000 = 212 · 57 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,-4000] |
[a1,a2,a3,a4,a6] |
j |
8489664/4805 |
j-invariant |
L |
1.6037135123992 |
L(r)(E,1)/r! |
Ω |
0.80185675622878 |
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 |
49600d2 24800o1 9920g2 |
Quadratic twists by: -4 8 5 |