Atkin-Lehner |
2- 3+ 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38346k |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
8.2012548251859E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13984914,14669387295] |
[a1,a2,a3,a4,a6] |
Generators |
[457605:13775191:125] |
Generators of the group modulo torsion |
j |
302484492228375681973763617/82012548251859227261952 |
j-invariant |
L |
5.7947988186942 |
L(r)(E,1)/r! |
Ω |
0.10095465502228 |
Real period |
R |
5.7400016050913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115038i3 |
Quadratic twists by: -3 |