Atkin-Lehner |
2- 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bd |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-120263130000000000 = -1 · 210 · 39 · 510 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -1 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1493237,702901261] |
[a1,a2,a3,a4,a6] |
Generators |
[1231:26384:1] |
Generators of the group modulo torsion |
j |
-18707612884310785707/6110000000000 |
j-invariant |
L |
8.6562385527898 |
L(r)(E,1)/r! |
Ω |
0.32462142758693 |
Real period |
R |
0.13332820659934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54990a1 |
Quadratic twists by: -3 |