Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296bd |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-4141881273024 = -1 · 26 · 34 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 11- 6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21494,-1224036] |
[a1,a2,a3,a4,a6] |
Generators |
[220:2178:1] |
Generators of the group modulo torsion |
j |
-17159936522661568/64716894891 |
j-invariant |
L |
9.3785380578673 |
L(r)(E,1)/r! |
Ω |
0.19710176991143 |
Real period |
R |
0.8496823441295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296e1 86592j1 129888g1 |
Quadratic twists by: -4 8 -3 |