Atkin-Lehner |
3+ 7+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873c |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1180800 |
Modular degree for the optimal curve |
Δ |
-9.4222814912127E+18 |
Discriminant |
Eigenvalues |
1 3+ 4 7+ 1 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-316680,-162757647] |
[a1,a2,a3,a4,a6] |
Generators |
[373880:19829511:125] |
Generators of the group modulo torsion |
j |
-130083624225445887387/348973388563434271 |
j-invariant |
L |
9.3707485024497 |
L(r)(E,1)/r! |
Ω |
0.093457556446355 |
Real period |
R |
1.6711237448122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54873d1 |
Quadratic twists by: -3 |