Atkin-Lehner |
2+ 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190n |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14321250 = 2 · 32 · 54 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122209,16433546] |
[a1,a2,a3,a4,a6] |
Generators |
[204:-47:1] [214:197:1] |
Generators of the group modulo torsion |
j |
201849730966237438729/14321250 |
j-invariant |
L |
7.1795604843619 |
L(r)(E,1)/r! |
Ω |
1.2304225703957 |
Real period |
R |
5.8350363989617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570ca4 |
Quadratic twists by: -3 |