Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680n |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4924375040000 = 221 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-568120,164630100] |
[a1,a2,a3,a4,a6] |
j |
4950906946375997881/1202240000 |
j-invariant |
L |
2.4508725863286 |
L(r)(E,1)/r! |
Ω |
0.61271814658214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210a2 70720v2 88400z2 |
Quadratic twists by: -4 8 5 |