Atkin-Lehner |
2+ 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128f |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
224142336 = 210 · 33 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4299,108490] |
[a1,a2,a3,a4,a6] |
Generators |
[27:110:1] |
Generators of the group modulo torsion |
j |
317806171596/8107 |
j-invariant |
L |
8.3275580109987 |
L(r)(E,1)/r! |
Ω |
1.6406819066996 |
Real period |
R |
1.2689172082532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064a2 106128c2 |
Quadratic twists by: -4 -3 |