Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dh |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10650000000000000 = 213 · 3 · 514 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-914008,-336604012] |
[a1,a2,a3,a4,a6] |
Generators |
[-548:78:1] [28684:-4855374:1] |
Generators of the group modulo torsion |
j |
1319453848668241/166406250 |
j-invariant |
L |
11.629851810358 |
L(r)(E,1)/r! |
Ω |
0.15440640176244 |
Real period |
R |
37.659875749605 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997621 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650c4 17040q3 |
Quadratic twists by: -4 5 |