Atkin-Lehner |
2+ 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
96960k |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.3363382015077E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -6 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305934561,1071891985761] |
[a1,a2,a3,a4,a6] |
j |
12080069023705694973579961/5097725683241582592000 |
j-invariant |
L |
1.0455132541215 |
L(r)(E,1)/r! |
Ω |
0.043563050672873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960dn3 3030m3 |
Quadratic twists by: -4 8 |