Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
37170z |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44521123091760 = 24 · 38 · 5 · 7 · 594 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242573,-45922683] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:150:1] |
Generators of the group modulo torsion |
j |
2165318983225044361/61071499440 |
j-invariant |
L |
7.4693417078638 |
L(r)(E,1)/r! |
Ω |
0.21512447064425 |
Real period |
R |
2.1700639417885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390e3 |
Quadratic twists by: -3 |