Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5565c |
Isogeny class |
Conductor |
5565 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-98059012397893575 = -1 · 32 · 52 · 7 · 538 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-155985,-28158738] |
[a1,a2,a3,a4,a6] |
j |
-419732306584032209041/98059012397893575 |
j-invariant |
L |
0.94916637117862 |
L(r)(E,1)/r! |
Ω |
0.11864579639733 |
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 |
89040cq5 16695k6 27825k5 38955j5 |
Quadratic twists by: -4 -3 5 -7 |