Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050m |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
-1563270040503125000 = -1 · 23 · 58 · 298 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 3 4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,241350,-39090500] |
[a1,a2,a3,a4,a6] |
j |
198911/200 |
j-invariant |
L |
0.87288898009706 |
L(r)(E,1)/r! |
Ω |
0.14548149665599 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410j1 42050s1 |
Quadratic twists by: 5 29 |