Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355x |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.5730417395722E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10464939,4201902648] |
[a1,a2,a3,a4,a6] |
j |
1477808195227045921/766391398250625 |
j-invariant |
L |
0.77583249144746 |
L(r)(E,1)/r! |
Ω |
0.096979061596248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22785o4 9765e3 |
Quadratic twists by: -3 -7 |