Atkin-Lehner |
2+ 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224i |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-116301744 = -1 · 24 · 36 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 2 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,114,-223] |
[a1,a2,a3,a4,a6] |
j |
14047232/9971 |
j-invariant |
L |
4.2103805241308 |
L(r)(E,1)/r! |
Ω |
1.0525951309651 |
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 |
110448r1 6136g1 |
Quadratic twists by: -4 -3 |