Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410r |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30888668478150 = 2 · 37 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-847072809,-9488980043537] |
[a1,a2,a3,a4,a6] |
j |
783736670177727068275201/360150 |
j-invariant |
L |
1.7910154957594 |
L(r)(E,1)/r! |
Ω |
0.02798461712124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280fs8 1470k7 22050eo8 630c7 |
Quadratic twists by: -4 -3 5 -7 |