Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dw |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-927705312000 = -1 · 28 · 34 · 53 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 3 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-442413,-113411097] |
[a1,a2,a3,a4,a6] |
Generators |
[843:10650:1] |
Generators of the group modulo torsion |
j |
-299266672793526272/28990791 |
j-invariant |
L |
8.6589710531197 |
L(r)(E,1)/r! |
Ω |
0.092557689464968 |
Real period |
R |
1.949003171788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300h1 85200cq1 |
Quadratic twists by: -4 5 |