Atkin-Lehner |
2- 3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
61104ba |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.9133079095867E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19027552,-31945852300] |
[a1,a2,a3,a4,a6] |
Generators |
[-1845225:1750850:729] |
Generators of the group modulo torsion |
j |
185999826646447452247393/46711618886393856 |
j-invariant |
L |
9.0904149709217 |
L(r)(E,1)/r! |
Ω |
0.072287027821981 |
Real period |
R |
6.986357983565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638d2 |
Quadratic twists by: -4 |