Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14890111678318338 = 2 · 36 · 78 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-561402,-161657798] |
[a1,a2,a3,a4,a6] |
Generators |
[-439:440:1] [12102:389861:8] |
Generators of the group modulo torsion |
j |
128787625/98 |
j-invariant |
L |
8.5854487745219 |
L(r)(E,1)/r! |
Ω |
0.17442184156068 |
Real period |
R |
12.30558153947 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11858bk2 15246i2 882i2 |
Quadratic twists by: -3 -7 -11 |