Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640t |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-245962762240000 = -1 · 214 · 54 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6799,720785] |
[a1,a2,a3,a4,a6] |
Generators |
[741:26000:27] |
Generators of the group modulo torsion |
j |
2121167764784/15012375625 |
j-invariant |
L |
9.6515556372282 |
L(r)(E,1)/r! |
Ω |
0.40377831046962 |
Real period |
R |
2.9878882112513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cl2 7540f2 |
Quadratic twists by: -4 8 |