Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44520u |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
9.5865450474109E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129009076,-564040267360] |
[a1,a2,a3,a4,a6] |
Generators |
[13682:481950:1] |
Generators of the group modulo torsion |
j |
927565408657759969339679824/3744744159144881025 |
j-invariant |
L |
6.2142902805523 |
L(r)(E,1)/r! |
Ω |
0.04479655260593 |
Real period |
R |
3.8534030950662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040f2 |
Quadratic twists by: -4 |