Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4410n |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
Δ |
-5379251109120000000 = -1 · 214 · 36 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,404976,51008768] |
[a1,a2,a3,a4,a6] |
Generators |
[32:7984:1] |
Generators of the group modulo torsion |
j |
1747829720511/1280000000 |
j-invariant |
L |
3.0123069687648 |
L(r)(E,1)/r! |
Ω |
0.15377072865084 |
Real period |
R |
1.3992570977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280ex2 490f2 22050dr2 4410i2 |
Quadratic twists by: -4 -3 5 -7 |