Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660bp |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5900366060316000000 = 28 · 39 · 56 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696927,191024246] |
[a1,a2,a3,a4,a6] |
Generators |
[-938:4410:1] |
Generators of the group modulo torsion |
j |
1705021456336/268734375 |
j-invariant |
L |
7.8787034152287 |
L(r)(E,1)/r! |
Ω |
0.22920926332138 |
Real period |
R |
2.8644506306882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999998561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38220d2 16380f2 |
Quadratic twists by: -3 -7 |