Atkin-Lehner |
11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43681b |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
307290101038811 = 119 · 194 |
Discriminant |
Eigenvalues |
-1 0 3 -1 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30031,1824364] |
[a1,a2,a3,a4,a6] |
Generators |
[642:28282:27] |
Generators of the group modulo torsion |
j |
9747 |
j-invariant |
L |
3.8708022895763 |
L(r)(E,1)/r! |
Ω |
0.52889779261211 |
Real period |
R |
3.6593103087606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43681a1 43681d1 |
Quadratic twists by: -11 -19 |