Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016p |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2331648 |
Modular degree for the optimal curve |
Δ |
2.2975172075689E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -5 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10111329,-12376657197] |
[a1,a2,a3,a4,a6] |
j |
41430613746688/8325909 |
j-invariant |
L |
3.7252498385848 |
L(r)(E,1)/r! |
Ω |
0.084664769028057 |
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 |
106032g1 1128g1 |
Quadratic twists by: -4 -47 |