Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640df |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4707662336000 = 212 · 53 · 13 · 294 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7545,227143] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:580:1] |
Generators of the group modulo torsion |
j |
11598425995456/1149331625 |
j-invariant |
L |
5.6316425382528 |
L(r)(E,1)/r! |
Ω |
0.74995425466926 |
Real period |
R |
0.62577623951087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998202078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640db2 60320l1 |
Quadratic twists by: -4 8 |