Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2464b |
Isogeny class |
Conductor |
2464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-6559168 = -1 · 26 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 11+ 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78,320] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
-830584000/102487 |
j-invariant |
L |
4.090521525679 |
L(r)(E,1)/r! |
Ω |
2.3045764511969 |
Real period |
R |
1.7749558811792 |
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 |
2464i1 4928z1 22176m1 61600bm1 |
Quadratic twists by: -4 8 -3 5 |