Atkin-Lehner |
3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325t |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2992629693603515625 = 32 · 514 · 114 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1892563,998508992] |
[a1,a2,a3,a4,a6] |
Generators |
[153270507:-6933130322:59319] |
Generators of the group modulo torsion |
j |
47979391567428864361/191528300390625 |
j-invariant |
L |
5.4379155418127 |
L(r)(E,1)/r! |
Ω |
0.25466662161598 |
Real period |
R |
10.676537638418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999062 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10065d2 |
Quadratic twists by: 5 |