Atkin-Lehner |
2- 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52998q |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-2.1854695451584E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,164739,-223430283] |
[a1,a2,a3,a4,a6] |
j |
2306594978831/101953767204 |
j-invariant |
L |
5.7680223388234 |
L(r)(E,1)/r! |
Ω |
0.10300039890189 |
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 |
52998j1 |
Quadratic twists by: -11 |