Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768x |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-28792593580032 = -1 · 220 · 35 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 2 3 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2216,260532] |
[a1,a2,a3,a4,a6] |
j |
-293946977449/7029441792 |
j-invariant |
L |
5.5647442780143 |
L(r)(E,1)/r! |
Ω |
0.55647442780143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346c1 75072cf1 56304bt1 |
Quadratic twists by: -4 8 -3 |