Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280bw |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1506988800 = -1 · 28 · 36 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3252,-71404] |
[a1,a2,a3,a4,a6] |
Generators |
[3452:202790:1] |
Generators of the group modulo torsion |
j |
-20380171264/8075 |
j-invariant |
L |
8.4187438794292 |
L(r)(E,1)/r! |
Ω |
0.31609789434758 |
Real period |
R |
6.6583359669901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999564444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12920b1 |
Quadratic twists by: -3 |