Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005u |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-83751360109935 = -1 · 3 · 5 · 76 · 834 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3113,-445609] |
[a1,a2,a3,a4,a6] |
j |
-28344726649/711874815 |
j-invariant |
L |
4.209200516805 |
L(r)(E,1)/r! |
Ω |
0.26307503202518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1245a4 |
Quadratic twists by: -7 |