Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640db |
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 |
[224:3045:1] |
Generators of the group modulo torsion |
j |
11598425995456/1149331625 |
j-invariant |
L |
12.438797778765 |
L(r)(E,1)/r! |
Ω |
0.51551498110742 |
Real period |
R |
2.0107397878512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640df2 60320n1 |
Quadratic twists by: -4 8 |