Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100f |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-38572800 = -1 · 28 · 3 · 52 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-303] |
[a1,a2,a3,a4,a6] |
Generators |
[8:19:1] [16:63:1] |
Generators of the group modulo torsion |
j |
327680/6027 |
j-invariant |
L |
8.9064294697003 |
L(r)(E,1)/r! |
Ω |
0.99728081229037 |
Real period |
R |
4.4653568783753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86100bp1 |
Quadratic twists by: 5 |