Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640bh |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
595697743886400000 = 29 · 318 · 55 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232203,21814702] |
[a1,a2,a3,a4,a6] |
Generators |
[873:22010:1] |
Generators of the group modulo torsion |
j |
3709622372097608/1595983753125 |
j-invariant |
L |
4.7282648676415 |
L(r)(E,1)/r! |
Ω |
0.26153012964197 |
Real period |
R |
4.5198089356896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bl2 89280ey2 14880h2 |
Quadratic twists by: -4 8 -3 |