Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dd |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-361088705101824 = -1 · 226 · 33 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -5 2 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17471,-208321] |
[a1,a2,a3,a4,a6] |
j |
2249635843727/1377444096 |
j-invariant |
L |
3.7347424788838 |
L(r)(E,1)/r! |
Ω |
0.31122854419231 |
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 |
111552v1 27888r1 |
Quadratic twists by: -4 8 |