Atkin-Lehner |
2+ 3- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bq |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
24482901920400 = 24 · 36 · 52 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7983,136018] |
[a1,a2,a3,a4,a6] |
Generators |
[2:345:1] |
Generators of the group modulo torsion |
j |
56252767574402281/24482901920400 |
j-invariant |
L |
5.9404845383886 |
L(r)(E,1)/r! |
Ω |
0.60606456870809 |
Real period |
R |
0.4084056417075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810dr2 |
Quadratic twists by: -3 |