Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
9760c |
Isogeny class |
Conductor |
9760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3904000000 = -1 · 212 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,-2959] |
[a1,a2,a3,a4,a6] |
j |
107850176/953125 |
j-invariant |
L |
1.3801771972444 |
L(r)(E,1)/r! |
Ω |
0.69008859862218 |
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 |
9760d2 19520w1 87840bz2 48800n2 |
Quadratic twists by: -4 8 -3 5 |