Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17444b |
Isogeny class |
Conductor |
17444 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
-50978891215943936 = -1 · 28 · 710 · 893 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17428,-10832744] |
[a1,a2,a3,a4,a6] |
Generators |
[306:4802:1] |
Generators of the group modulo torsion |
j |
19436284208/1692630569 |
j-invariant |
L |
2.6912784132383 |
L(r)(E,1)/r! |
Ω |
0.16915479724034 |
Real period |
R |
1.3258459397077 |
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 |
69776j1 2492c1 |
Quadratic twists by: -4 -7 |