Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bq |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-8949027885839548416 = -1 · 219 · 313 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 5 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,102813,-143367838] |
[a1,a2,a3,a4,a6] |
Generators |
[16081:2039616:1] |
Generators of the group modulo torsion |
j |
40251338884511/2997011332224 |
j-invariant |
L |
5.2944716334634 |
L(r)(E,1)/r! |
Ω |
0.11017359749093 |
Real period |
R |
6.0069650919529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1638h1 52416fg1 4368n1 91728fl1 |
Quadratic twists by: -4 8 -3 -7 |