Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29172i |
Isogeny class |
Conductor |
29172 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2767975556366592 = -1 · 28 · 32 · 114 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87796,-10357228] |
[a1,a2,a3,a4,a6] |
j |
-292356586786125904/10812404517057 |
j-invariant |
L |
3.3210070526886 |
L(r)(E,1)/r! |
Ω |
0.13837529386207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116688t2 87516j2 |
Quadratic twists by: -4 -3 |