Atkin-Lehner |
2- 3+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430u |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-20745882000 = -1 · 24 · 39 · 53 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -1 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1163,-16469] |
[a1,a2,a3,a4,a6] |
Generators |
[43:86:1] |
Generators of the group modulo torsion |
j |
-8831234763/1054000 |
j-invariant |
L |
5.8466533153788 |
L(r)(E,1)/r! |
Ω |
0.40607406396125 |
Real period |
R |
1.7997496744621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47430f1 |
Quadratic twists by: -3 |