Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670c |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-15429259338301440 = -1 · 214 · 33 · 5 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-208808,-37295808] |
[a1,a2,a3,a4,a6] |
Generators |
[216198167:9499343655:103823] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
2.5016689210321 |
L(r)(E,1)/r! |
Ω |
0.11156732254074 |
Real period |
R |
11.211476909463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69360dd1 26010bu1 43350db1 510b1 |
Quadratic twists by: -4 -3 5 17 |