Atkin-Lehner |
11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
35321d |
Isogeny class |
Conductor |
35321 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35631933624001 = 112 · 138 · 192 |
Discriminant |
Eigenvalues |
1 0 2 0 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153061,-23008608] |
[a1,a2,a3,a4,a6] |
Generators |
[163872725215693469316:15142975303347675872782:18943840505442033] |
Generators of the group modulo torsion |
j |
82159697864817/7382089 |
j-invariant |
L |
7.2967816198329 |
L(r)(E,1)/r! |
Ω |
0.24137129833263 |
Real period |
R |
30.230527284056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2717a2 |
Quadratic twists by: 13 |