Atkin-Lehner |
2+ 3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190k |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2953414102500 = 22 · 36 · 54 · 192 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8644,297326] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:647:1] |
Generators of the group modulo torsion |
j |
71416039413277369/2953414102500 |
j-invariant |
L |
5.2057705481221 |
L(r)(E,1)/r! |
Ω |
0.79492389443639 |
Real period |
R |
1.0914609948947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114570bx2 |
Quadratic twists by: -3 |