Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064p |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-150096314368 = -1 · 220 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1108,12080] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:52:1] |
Generators of the group modulo torsion |
j |
573856191/572572 |
j-invariant |
L |
4.5001094291527 |
L(r)(E,1)/r! |
Ω |
0.67754023226519 |
Real period |
R |
1.660458381191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064u1 2002c1 |
Quadratic twists by: -4 8 |