Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9520c |
Isogeny class |
Conductor |
9520 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-133280000000 = -1 · 211 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ -6 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1867,35674] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:140:1] [16919:-86500:343] |
Generators of the group modulo torsion |
j |
-351420193602/65078125 |
j-invariant |
L |
3.9834641785118 |
L(r)(E,1)/r! |
Ω |
0.99772559468941 |
Real period |
R |
0.071295443637633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4760e1 38080bb1 85680t1 47600h1 |
Quadratic twists by: -4 8 -3 5 |