Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112z |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4239086843543552 = 214 · 77 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1290611,-564331726] |
[a1,a2,a3,a4,a6] |
Generators |
[1367:15030:1] |
Generators of the group modulo torsion |
j |
493357359497913/8796788 |
j-invariant |
L |
3.9202449663808 |
L(r)(E,1)/r! |
Ω |
0.14164497716359 |
Real period |
R |
6.9191386905451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14014d3 16016g3 |
Quadratic twists by: -4 -7 |