Atkin-Lehner |
2+ 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240g |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-37676800 = -1 · 28 · 52 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,300] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] [-2:16:1] |
Generators of the group modulo torsion |
j |
3286064/147175 |
j-invariant |
L |
5.1268919084586 |
L(r)(E,1)/r! |
Ω |
1.5560789600295 |
Real period |
R |
1.6473752425653 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8120e1 64960ba1 81200k1 113680c1 |
Quadratic twists by: -4 8 5 -7 |