Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410x |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
317712018632400 = 24 · 39 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-791237,271095661] |
[a1,a2,a3,a4,a6] |
j |
68971442301/400 |
j-invariant |
L |
3.8654252305647 |
L(r)(E,1)/r! |
Ω |
0.48317815382059 |
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 |
35280dk2 4410a2 22050f2 4410w2 |
Quadratic twists by: -4 -3 5 -7 |