Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355x |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.0733664922358E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8345934,9273529215] |
[a1,a2,a3,a4,a6] |
j |
749605580278405201/824727341025 |
j-invariant |
L |
0.77583249144746 |
L(r)(E,1)/r! |
Ω |
0.1939581231925 |
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 |
22785o2 9765e2 |
Quadratic twists by: -3 -7 |