Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10956c |
Isogeny class |
Conductor |
10956 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-1054273968 = -1 · 24 · 38 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-269,2220] |
[a1,a2,a3,a4,a6] |
Generators |
[7:27:1] |
Generators of the group modulo torsion |
j |
-135043612672/65892123 |
j-invariant |
L |
4.8810596981535 |
L(r)(E,1)/r! |
Ω |
1.4498982998636 |
Real period |
R |
0.28054034885371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824v1 32868h1 120516k1 |
Quadratic twists by: -4 -3 -11 |