Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825bp |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.3916349722704E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3584376,-2409823727] |
[a1,a2,a3,a4,a6] |
Generators |
[56758957428653:-4924871417450214:7155584983] |
Generators of the group modulo torsion |
j |
2770485962938849/238901000625 |
j-invariant |
L |
8.3050425854408 |
L(r)(E,1)/r! |
Ω |
0.11032576834172 |
Real period |
R |
18.819362669823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13965k2 9975e2 |
Quadratic twists by: 5 -7 |