Atkin-Lehner |
2- 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68244l |
Isogeny class |
Conductor |
68244 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
575516392704 = 28 · 33 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4517,-112521] |
[a1,a2,a3,a4,a6] |
j |
22478848/1269 |
j-invariant |
L |
1.7531815520006 |
L(r)(E,1)/r! |
Ω |
0.5843938541692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
564b1 |
Quadratic twists by: -11 |