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 |
5675792832860062500 = 22 · 38 · 56 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1191150,-486774464] |
[a1,a2,a3,a4,a6] |
Generators |
[-694:2642:1] |
Generators of the group modulo torsion |
j |
2179252305146449/66177562500 |
j-invariant |
L |
2.5223524972174 |
L(r)(E,1)/r! |
Ω |
0.14478210456669 |
Real period |
R |
4.355428636651 |
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 |
35280dy6 1470m6 22050dz6 630f6 |
Quadratic twists by: -4 -3 5 -7 |