Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296v |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.7442755977266E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214009584,1205101417968] |
[a1,a2,a3,a4,a6] |
Generators |
[2958:773262:1] |
Generators of the group modulo torsion |
j |
22501000029889239268/3620708343 |
j-invariant |
L |
4.9707342834593 |
L(r)(E,1)/r! |
Ω |
0.14166446675966 |
Real period |
R |
2.9240068155104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997738935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648bk4 6384n3 |
Quadratic twists by: -4 -19 |