Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410d |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
129678374952000 = 26 · 39 · 53 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20589,1001573] |
[a1,a2,a3,a4,a6] |
Generators |
[2:979:1] |
Generators of the group modulo torsion |
j |
416832723/56000 |
j-invariant |
L |
2.9152761123424 |
L(r)(E,1)/r! |
Ω |
0.56350403927755 |
Real period |
R |
0.43112322023458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280dg3 4410v1 22050da3 630a3 |
Quadratic twists by: -4 -3 5 -7 |