Atkin-Lehner |
2- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
52976y |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-119271800088297472 = -1 · 218 · 75 · 114 · 432 |
Discriminant |
Eigenvalues |
2- -2 2 7- 11+ 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216392,-42229388] |
[a1,a2,a3,a4,a6] |
j |
-273583167734108233/29119091818432 |
j-invariant |
L |
2.2003185443368 |
L(r)(E,1)/r! |
Ω |
0.11001592725295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622a1 |
Quadratic twists by: -4 |