Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10956d |
Isogeny class |
Conductor |
10956 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-556656655104 = -1 · 28 · 39 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11+ 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-699149,224777583] |
[a1,a2,a3,a4,a6] |
Generators |
[346:4941:1] |
Generators of the group modulo torsion |
j |
-147636448854636470272/2174440059 |
j-invariant |
L |
5.9440806813726 |
L(r)(E,1)/r! |
Ω |
0.65538329990863 |
Real period |
R |
3.0232082926136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43824w1 32868i1 120516m1 |
Quadratic twists by: -4 -3 -11 |