Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410h |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4901842573185600 = 26 · 312 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-159210,24258100] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:6950:1] |
Generators of the group modulo torsion |
j |
5203798902289/57153600 |
j-invariant |
L |
2.5223524972174 |
L(r)(E,1)/r! |
Ω |
0.43434631370006 |
Real period |
R |
1.4518095455504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35280dy2 1470m2 22050dz2 630f2 |
Quadratic twists by: -4 -3 5 -7 |