Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296o |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
14176236096 = 26 · 32 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4962,-136080] |
[a1,a2,a3,a4,a6] |
Generators |
[540272499:27705531240:205379] |
Generators of the group modulo torsion |
j |
211155082374592/221503689 |
j-invariant |
L |
8.815171912765 |
L(r)(E,1)/r! |
Ω |
0.56886003565075 |
Real period |
R |
15.496205323476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43296x1 86592w2 129888bf1 |
Quadratic twists by: -4 8 -3 |