Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760a |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1043504000000 = 210 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3443,60258] |
[a1,a2,a3,a4,a6] |
Generators |
[11:154:1] |
Generators of the group modulo torsion |
j |
3311744076/765625 |
j-invariant |
L |
3.6962115904723 |
L(r)(E,1)/r! |
Ω |
0.82363880849303 |
Real period |
R |
1.1219151988506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33880b2 67760g2 |
Quadratic twists by: -4 -11 |