Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410r |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4411658315867040000 = 28 · 314 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-471879,73290685] |
[a1,a2,a3,a4,a6] |
j |
135487869158881/51438240000 |
j-invariant |
L |
1.7910154957594 |
L(r)(E,1)/r! |
Ω |
0.22387693696992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280fs2 1470k2 22050eo2 630c2 |
Quadratic twists by: -4 -3 5 -7 |