Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170bc |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
Δ |
-3.7029417177665E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3370792,1701387227] |
[a1,a2,a3,a4,a6] |
Generators |
[-429:13489:1] |
Generators of the group modulo torsion |
j |
5810214531016720487879/5079481094329958400 |
j-invariant |
L |
7.9912024003277 |
L(r)(E,1)/r! |
Ω |
0.091086341751139 |
Real period |
R |
2.1933042448234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
12390k4 |
Quadratic twists by: -3 |