Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115m |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.0438403055052E+25 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-206507093,-1162696207318] |
[a1,a2,a3,a4,a6] |
Generators |
[1298241801112389249771408:5524845206260427765301669983:71667820866277376] |
Generators of the group modulo torsion |
j |
-754127868744065783521/15825714261328125 |
j-invariant |
L |
3.0444172525971 |
L(r)(E,1)/r! |
Ω |
0.01988822873799 |
Real period |
R |
38.269084852957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705m6 3465i6 |
Quadratic twists by: -3 -11 |