Atkin-Lehner |
2- 3- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bp |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3821589050293E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-732812,-162008751] |
[a1,a2,a3,a4,a6] |
j |
59699864503021095289/18959655761718750 |
j-invariant |
L |
2.6761970083373 |
L(r)(E,1)/r! |
Ω |
0.16726231262809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23010a3 |
Quadratic twists by: -3 |