Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
60984a |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-156527283163603968 = -1 · 210 · 33 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19965,-19004018] |
[a1,a2,a3,a4,a6] |
Generators |
[1065690:34821997:1000] |
Generators of the group modulo torsion |
j |
13500/2401 |
j-invariant |
L |
5.9825607872148 |
L(r)(E,1)/r! |
Ω |
0.1529033160124 |
Real period |
R |
9.7816073310448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968k2 60984bj2 60984bq2 |
Quadratic twists by: -4 -3 -11 |