Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050bb |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
876960 |
Modular degree for the optimal curve |
Δ |
-1954087550628906250 = -1 · 2 · 59 · 298 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 5 3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266755,85713997] |
[a1,a2,a3,a4,a6] |
Generators |
[50462:3969515:8] |
Generators of the group modulo torsion |
j |
-268569/250 |
j-invariant |
L |
8.2242068292752 |
L(r)(E,1)/r! |
Ω |
0.23971818628957 |
Real period |
R |
2.8589844588526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410d1 42050e1 |
Quadratic twists by: 5 29 |