Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55488ee |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-295576141824 = -1 · 217 · 33 · 174 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 3 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18881,-1005249] |
[a1,a2,a3,a4,a6] |
j |
-68001122/27 |
j-invariant |
L |
1.2218061318983 |
L(r)(E,1)/r! |
Ω |
0.20363435554615 |
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 |
55488s1 13872f1 55488ci1 |
Quadratic twists by: -4 8 17 |