Atkin-Lehner |
2- 3+ 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118n |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-115788288 = -1 · 29 · 3 · 7 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28,509] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-23:1] |
Generators of the group modulo torsion |
j |
-2433138625/115788288 |
j-invariant |
L |
7.2652894443957 |
L(r)(E,1)/r! |
Ω |
1.5503291736369 |
Real period |
R |
0.26034934916972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354bc1 |
Quadratic twists by: -3 |