Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17784f |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-33747344077824 = -1 · 210 · 37 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23763,1437374] |
[a1,a2,a3,a4,a6] |
Generators |
[127:684:1] |
Generators of the group modulo torsion |
j |
-1987925163844/45207669 |
j-invariant |
L |
5.4717809272714 |
L(r)(E,1)/r! |
Ω |
0.65443889994052 |
Real period |
R |
0.34837610048908 |
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 |
35568h1 5928k1 |
Quadratic twists by: -4 -3 |