Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696dq |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.5806034221984E+26 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700794732,-7166168207440] |
[a1,a2,a3,a4,a6] |
Generators |
[823760437780163455:-233337437391056681727:9254386574875] |
Generators of the group modulo torsion |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
5.0266133862517 |
L(r)(E,1)/r! |
Ω |
0.01466776443268 |
Real period |
R |
21.418624362444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000647 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696hc4 2178m4 23232ba4 6336bg4 |
Quadratic twists by: -4 8 -3 -11 |