Atkin-Lehner |
3- 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
67599d |
Isogeny class |
Conductor |
67599 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1941460247349 = -1 · 36 · 72 · 29 · 374 |
Discriminant |
Eigenvalues |
-1 3- -1 7- -1 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2992,22160] |
[a1,a2,a3,a4,a6] |
Generators |
[84:4736:27] |
Generators of the group modulo torsion |
j |
4064592619079/2663182781 |
j-invariant |
L |
3.5590882149105 |
L(r)(E,1)/r! |
Ω |
0.52004665851728 |
Real period |
R |
1.7109465834798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7511d1 |
Quadratic twists by: -3 |