Atkin-Lehner |
2+ 3- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370n |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
5.4703131860031E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2429973,926844256] |
[a1,a2,a3,a4,a6] |
Generators |
[140:24207:1] |
Generators of the group modulo torsion |
j |
1586820489004627674375241/547031318600310336000 |
j-invariant |
L |
5.4823723009493 |
L(r)(E,1)/r! |
Ω |
0.15093594960316 |
Real period |
R |
1.2107502808009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110cf2 |
Quadratic twists by: -3 |