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 |
Δ |
1.3511154514097E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21604817,-38658978657] |
[a1,a2,a3,a4,a6] |
Generators |
[-2678:351:1] |
Generators of the group modulo torsion |
j |
272279886183701546713408/3298621707543123 |
j-invariant |
L |
6.6452359679805 |
L(r)(E,1)/r! |
Ω |
0.070026467799127 |
Real period |
R |
1.6945725199104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664k4 107328c1 |
Quadratic twists by: -4 8 |