Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115m |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.2214145781351E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-207536198,-1150718660044] |
[a1,a2,a3,a4,a6] |
Generators |
[39798018195:169365899002204:2197] |
Generators of the group modulo torsion |
j |
765458482133960722801/326869475625 |
j-invariant |
L |
3.0444172525971 |
L(r)(E,1)/r! |
Ω |
0.039776457475981 |
Real period |
R |
19.134542426479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12705m4 3465i4 |
Quadratic twists by: -3 -11 |