Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fr |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-86732800000000 = -1 · 218 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-448063] |
[a1,a2,a3,a4,a6] |
Generators |
[1357664:18483003:6859] |
Generators of the group modulo torsion |
j |
-1/21175 |
j-invariant |
L |
11.330331418757 |
L(r)(E,1)/r! |
Ω |
0.277472484181 |
Real period |
R |
10.208517985134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200be1 30800cb1 24640be1 |
Quadratic twists by: -4 8 5 |