Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3330z |
Isogeny class |
Conductor |
3330 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-26973000000000 = -1 · 29 · 36 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1498,248501] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:379:1] |
Generators of the group modulo torsion |
j |
510273943271/37000000000 |
j-invariant |
L |
4.98794548011 |
L(r)(E,1)/r! |
Ω |
0.50953925327506 |
Real period |
R |
0.54384049991679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26640ca3 106560bf3 370c2 16650j3 |
Quadratic twists by: -4 8 -3 5 |