Atkin-Lehner |
3- 13- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421o |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.5648098428585E+21 |
Discriminant |
Eigenvalues |
-1 3- -2 2 -4 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-241479806,-1444276445034] |
[a1,a2,a3,a4,a6] |
Generators |
[-8980:5457:1] |
Generators of the group modulo torsion |
j |
2136183897084008163646482073/4889999784442373991 |
j-invariant |
L |
3.3791471033733 |
L(r)(E,1)/r! |
Ω |
0.038298292339924 |
Real period |
R |
5.5145198626466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000027817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27807i2 |
Quadratic twists by: -3 |