Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29172i |
Isogeny class |
Conductor |
29172 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
99567653328 = 24 · 34 · 112 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88561,-10173628] |
[a1,a2,a3,a4,a6] |
j |
4801049335176577024/6222978333 |
j-invariant |
L |
3.3210070526886 |
L(r)(E,1)/r! |
Ω |
0.27675058772413 |
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 |
116688t1 87516j1 |
Quadratic twists by: -4 -3 |