Atkin-Lehner |
2- 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450cu |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1069645824000 = -1 · 218 · 34 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2547,-5103] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-225:1] [12:159:1] |
Generators of the group modulo torsion |
j |
14618064605851/8557166592 |
j-invariant |
L |
15.27803296987 |
L(r)(E,1)/r! |
Ω |
0.5141935779277 |
Real period |
R |
0.8253502628894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450ba1 |
Quadratic twists by: 5 |