Atkin-Lehner |
3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585t |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
84388247527227525 = 37 · 52 · 77 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1247378,536352212] |
[a1,a2,a3,a4,a6] |
Generators |
[-705:32986:1] [-372:30988:1] |
Generators of the group modulo torsion |
j |
2502660030961609/983934525 |
j-invariant |
L |
6.699990986682 |
L(r)(E,1)/r! |
Ω |
0.33534063876921 |
Real period |
R |
1.2487285710649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195t4 11655o3 |
Quadratic twists by: -3 -7 |