Atkin-Lehner |
2- 3+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
50904f |
Isogeny class |
Conductor |
50904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20149305071616 = -1 · 211 · 39 · 72 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5211,-260010] |
[a1,a2,a3,a4,a6] |
j |
-388209078/499849 |
j-invariant |
L |
0.53608434362226 |
L(r)(E,1)/r! |
Ω |
0.26804217142718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101808b2 50904a2 |
Quadratic twists by: -4 -3 |