Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115j |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7.1220088406943E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12929175,-44367972764] |
[a1,a2,a3,a4,a6] |
Generators |
[1793689029889751152986410:100659420535013179277809247:282661794131167713592] |
Generators of the group modulo torsion |
j |
-185077034913624841/551466161890875 |
j-invariant |
L |
5.1531958339661 |
L(r)(E,1)/r! |
Ω |
0.036808594189992 |
Real period |
R |
34.999950061706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705e4 3465k4 |
Quadratic twists by: -3 -11 |