Atkin-Lehner |
2- 3- 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101178bn |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
2.589328393292E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6312101,6056203101] |
[a1,a2,a3,a4,a6] |
Generators |
[-2889:14600:1] [1247:-11712:1] |
Generators of the group modulo torsion |
j |
38152055177814572902153/355189080012619776 |
j-invariant |
L |
14.647494826267 |
L(r)(E,1)/r! |
Ω |
0.17560382862557 |
Real period |
R |
0.3791461863916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33726b1 |
Quadratic twists by: -3 |