Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240er |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.60760384E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17356908,27821938768] |
[a1,a2,a3,a4,a6] |
Generators |
[3888:138244:1] |
Generators of the group modulo torsion |
j |
3026030815665395929/1364501953125 |
j-invariant |
L |
2.4945581436646 |
L(r)(E,1)/r! |
Ω |
0.17201338094916 |
Real period |
R |
7.2510584055652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240cd4 16560bx4 22080dc4 |
Quadratic twists by: -4 8 -3 |