Atkin-Lehner |
3+ 7+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873d |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3542400 |
Modular degree for the optimal curve |
Δ |
-6.8688432070941E+21 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ -1 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2850122,4397306590] |
[a1,a2,a3,a4,a6] |
Generators |
[2978:-150866:1] |
Generators of the group modulo torsion |
j |
-130083624225445887387/348973388563434271 |
j-invariant |
L |
1.8476697032233 |
L(r)(E,1)/r! |
Ω |
0.1173706296958 |
Real period |
R |
0.26236968426127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54873c1 |
Quadratic twists by: -3 |