Atkin-Lehner |
3- 7+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987g |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
878400 |
Modular degree for the optimal curve |
Δ |
-1199863150503277113 = -1 · 36 · 7 · 194 · 715 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -3 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284855,78822200] |
[a1,a2,a3,a4,a6] |
Generators |
[9400:905200:1] |
Generators of the group modulo torsion |
j |
-3506439058384515625/1645902812761697 |
j-invariant |
L |
2.8233497389145 |
L(r)(E,1)/r! |
Ω |
0.25539041404545 |
Real period |
R |
1.1055034095068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9443a1 |
Quadratic twists by: -3 |