Atkin-Lehner |
2- 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352p |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5296180306706432 = 216 · 118 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-519611,144124394] |
[a1,a2,a3,a4,a6] |
Generators |
[397:640:1] |
Generators of the group modulo torsion |
j |
3787902338451195537/1293012770192 |
j-invariant |
L |
2.4778928658742 |
L(r)(E,1)/r! |
Ω |
0.42141155247024 |
Real period |
R |
2.9399916197767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001594 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8294e3 |
Quadratic twists by: -4 |