Atkin-Lehner |
2- 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678bg |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.1815438997128E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3678170,2676656679] |
[a1,a2,a3,a4,a6] |
Generators |
[585338373884:-7128030328827:418508992] |
Generators of the group modulo torsion |
j |
64165742871063625/1070532722322 |
j-invariant |
L |
10.912183709699 |
L(r)(E,1)/r! |
Ω |
0.19084923326039 |
Real period |
R |
14.294246199698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226d2 9954k2 |
Quadratic twists by: -3 -7 |