Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426m |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.320366211705E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-200423916,-1088550566960] |
[a1,a2,a3,a4,a6] |
Generators |
[-1174469961131896:-2398238910087964:150314190013] |
Generators of the group modulo torsion |
j |
1221363157013275720470941377/4554686161460969678592 |
j-invariant |
L |
5.6319076817868 |
L(r)(E,1)/r! |
Ω |
0.040133734446172 |
Real period |
R |
17.541065390644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142v2 |
Quadratic twists by: -3 |