Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86700bi |
Isogeny class |
Conductor |
86700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-13848930213750000 = -1 · 24 · 33 · 57 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45758,6785613] |
[a1,a2,a3,a4,a6] |
Generators |
[793:21675:1] |
Generators of the group modulo torsion |
j |
-1755904/2295 |
j-invariant |
L |
8.4471978957648 |
L(r)(E,1)/r! |
Ω |
0.35806717491523 |
Real period |
R |
0.49148121316379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340g1 5100g1 |
Quadratic twists by: 5 17 |