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 |
1.6639559212719E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56106251,-161761192477] |
[a1,a2,a3,a4,a6] |
Generators |
[-298245357:221294177:68921] |
Generators of the group modulo torsion |
j |
10625495353235512849/90517708575 |
j-invariant |
L |
8.3050425854408 |
L(r)(E,1)/r! |
Ω |
0.055162884170861 |
Real period |
R |
9.4096813349117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965k3 9975e4 |
Quadratic twists by: 5 -7 |