Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
60984bq |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-88355570688 = -1 · 210 · 33 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,165,14278] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-132:1] |
Generators of the group modulo torsion |
j |
13500/2401 |
j-invariant |
L |
6.1013024600919 |
L(r)(E,1)/r! |
Ω |
0.82932282563065 |
Real period |
R |
0.91962114622227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968b2 60984h2 60984a2 |
Quadratic twists by: -4 -3 -11 |