Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195u |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
964124363671875 = 34 · 58 · 77 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5483150,-4942349343] |
[a1,a2,a3,a4,a6] |
Generators |
[-1352:691:1] |
Generators of the group modulo torsion |
j |
154962229997864551249/8194921875 |
j-invariant |
L |
4.6638678116855 |
L(r)(E,1)/r! |
Ω |
0.098660207365527 |
Real period |
R |
2.954501576815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585s4 3885a4 |
Quadratic twists by: -3 -7 |