Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17040t |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4955504640000 = 219 · 3 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32176,-2229676] |
[a1,a2,a3,a4,a6] |
Generators |
[422444:5897250:1331] |
Generators of the group modulo torsion |
j |
899442534243889/1209840000 |
j-invariant |
L |
6.0863670407434 |
L(r)(E,1)/r! |
Ω |
0.35649258140245 |
Real period |
R |
8.5364567991844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130i2 68160cj2 51120bp2 85200bs2 |
Quadratic twists by: -4 8 -3 5 |