Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cu |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-653625000000 = -1 · 26 · 32 · 59 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11438,471492] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:754:1] |
Generators of the group modulo torsion |
j |
-10591472326681/41832000 |
j-invariant |
L |
14.182455801221 |
L(r)(E,1)/r! |
Ω |
0.91415165075011 |
Real period |
R |
0.32321533194744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430h1 |
Quadratic twists by: 5 |