Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2760h |
Isogeny class |
Conductor |
2760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1388307600000000 = 210 · 38 · 58 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135176,-19090176] |
[a1,a2,a3,a4,a6] |
Generators |
[640:12528:1] |
Generators of the group modulo torsion |
j |
266763091319403556/1355769140625 |
j-invariant |
L |
3.6347571319638 |
L(r)(E,1)/r! |
Ω |
0.24906187319236 |
Real period |
R |
3.6484479593115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5520a2 22080m2 8280k2 13800c2 |
Quadratic twists by: -4 8 -3 5 |