Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280bu |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-474770981858400000 = -1 · 28 · 39 · 55 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,187233,-11252126] |
[a1,a2,a3,a4,a6] |
Generators |
[173:5130:1] |
Generators of the group modulo torsion |
j |
3889586251720496/2543997459375 |
j-invariant |
L |
9.4346033934103 |
L(r)(E,1)/r! |
Ω |
0.16863052956118 |
Real period |
R |
0.69935463267565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760j1 |
Quadratic twists by: -3 |