Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322h |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.0819363442673E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -6 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109516,-307716550] |
[a1,a2,a3,a4,a6] |
Generators |
[781:8735:1] [1885:77699:1] |
Generators of the group modulo torsion |
j |
-30094741482625/8456801054832 |
j-invariant |
L |
6.4000361289386 |
L(r)(E,1)/r! |
Ω |
0.091181208987569 |
Real period |
R |
17.547574220616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69966bd3 1794i3 |
Quadratic twists by: -3 13 |