Atkin-Lehner |
2+ 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142o |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.570628258564E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-109018953,431311057389] |
[a1,a2,a3,a4,a6] |
Generators |
[637445:-11470748:125] |
Generators of the group modulo torsion |
j |
196563196728493760358989713/3526239037810708362528 |
j-invariant |
L |
3.0357493293901 |
L(r)(E,1)/r! |
Ω |
0.081253298134895 |
Real period |
R |
9.3403880183231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21714n3 |
Quadratic twists by: -3 |