Atkin-Lehner |
2- 5+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
87550n |
Isogeny class |
Conductor |
87550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1453466796875000000 = -1 · 26 · 517 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 2 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,189312,48588992] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:5984:1] |
Generators of the group modulo torsion |
j |
48021749024151239/93021875000000 |
j-invariant |
L |
10.788128811504 |
L(r)(E,1)/r! |
Ω |
0.18561956435004 |
Real period |
R |
2.421648648296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17510f1 |
Quadratic twists by: 5 |