Atkin-Lehner |
3- 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337p |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
191632959 = 36 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5703,-164350] |
[a1,a2,a3,a4,a6] |
j |
28141622521713/262871 |
j-invariant |
L |
2.1975075541619 |
L(r)(E,1)/r! |
Ω |
0.54937688888431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5593b2 |
Quadratic twists by: -3 |