Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320w |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1102745600 = 212 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-683,6682] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:110:1] |
Generators of the group modulo torsion |
j |
8602523649/269225 |
j-invariant |
L |
4.6288746746932 |
L(r)(E,1)/r! |
Ω |
1.5410397383356 |
Real period |
R |
0.75093369742594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895d1 |
Quadratic twists by: -4 |