Atkin-Lehner |
2+ 3- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664f |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1835008 |
Modular degree for the optimal curve |
Δ |
2.9889921304066E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1386002,-570774960] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:3900:1] |
Generators of the group modulo torsion |
j |
4600824024374734485952/467030020376026809 |
j-invariant |
L |
6.6452359679805 |
L(r)(E,1)/r! |
Ω |
0.14005293559825 |
Real period |
R |
3.3891450398209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53664k1 107328c2 |
Quadratic twists by: -4 8 |