Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29172f |
Isogeny class |
Conductor |
29172 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
-436142383170354432 = -1 · 28 · 315 · 11 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,185692,-7748988] |
[a1,a2,a3,a4,a6] |
j |
2766056134796750000/1703681184259197 |
j-invariant |
L |
2.5802300433914 |
L(r)(E,1)/r! |
Ω |
0.17201533622614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116688p1 87516g1 |
Quadratic twists by: -4 -3 |