Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cb |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-568085446656 = -1 · 219 · 35 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6945,228033] |
[a1,a2,a3,a4,a6] |
Generators |
[29:224:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
4.6422105657204 |
L(r)(E,1)/r! |
Ω |
0.9227838392826 |
Real period |
R |
0.41922155981562 |
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 |
17472u1 4368z1 52416fu1 122304hz1 |
Quadratic twists by: -4 8 -3 -7 |