Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290i |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58026240 |
Modular degree for the optimal curve |
Δ |
1.5432833226052E+27 |
Discriminant |
Eigenvalues |
2+ 3 5+ -1 3 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-902008855,10254609353501] |
[a1,a2,a3,a4,a6] |
Generators |
[-53891630382835069484087320377825785264060421067162173:13296572052789662885573067853924748928884853733690400203:2922435260484081535098352849877632913154431049081] |
Generators of the group modulo torsion |
j |
1378638410795073/26214400000 |
j-invariant |
L |
7.4902042194638 |
L(r)(E,1)/r! |
Ω |
0.04765269202533 |
Real period |
R |
78.591616770385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53290r1 |
Quadratic twists by: 73 |