Atkin-Lehner |
2- 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040o |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16724828160 = 213 · 34 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-640,640] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:40:1] [-8:72:1] |
Generators of the group modulo torsion |
j |
7088952961/4083210 |
j-invariant |
L |
6.1399859567403 |
L(r)(E,1)/r! |
Ω |
1.0522482716552 |
Real period |
R |
1.4587778669103 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130m2 68160cy2 51120w2 85200dd2 |
Quadratic twists by: -4 8 -3 5 |