Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200bp |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
12187005012000000 = 28 · 314 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66708,3948588] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:2268:1] |
Generators of the group modulo torsion |
j |
8207369602000/3046751253 |
j-invariant |
L |
8.5984489517345 |
L(r)(E,1)/r! |
Ω |
0.36645896332875 |
Real period |
R |
0.83798594843215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600i2 4368e2 |
Quadratic twists by: -4 5 |