Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144bb |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-673109471232 = -1 · 212 · 310 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-368,39444] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:198:1] |
Generators of the group modulo torsion |
j |
-1349232625/164333367 |
j-invariant |
L |
6.0093118956031 |
L(r)(E,1)/r! |
Ω |
0.74432829672916 |
Real period |
R |
0.40367348131262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
759a1 48576cm1 36432cl1 |
Quadratic twists by: -4 8 -3 |