Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cx |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-586116000000 = -1 · 28 · 37 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2092,-312] |
[a1,a2,a3,a4,a6] |
Generators |
[19:216:1] |
Generators of the group modulo torsion |
j |
253012016/146529 |
j-invariant |
L |
8.2284523475109 |
L(r)(E,1)/r! |
Ω |
0.54630939493277 |
Real period |
R |
2.1516986591845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20100b1 3216e1 |
Quadratic twists by: -4 5 |