Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17040l |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6175089229824000000 = -1 · 236 · 34 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24575976,46902020976] |
[a1,a2,a3,a4,a6] |
j |
-400770830496236396186089/1507590144000000 |
j-invariant |
L |
0.83737036384355 |
L(r)(E,1)/r! |
Ω |
0.20934259096089 |
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 |
2130f3 68160df3 51120br3 85200cv3 |
Quadratic twists by: -4 8 -3 5 |