Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200br |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14518080000000 = 212 · 32 · 57 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95408,11373312] |
[a1,a2,a3,a4,a6] |
Generators |
[-352:1104:1] [106:1562:1] |
Generators of the group modulo torsion |
j |
1500730351849/226845 |
j-invariant |
L |
9.0563592706246 |
L(r)(E,1)/r! |
Ω |
0.67898552696678 |
Real period |
R |
1.6672592623526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5325n2 17040s2 |
Quadratic twists by: -4 5 |