Atkin-Lehner |
2+ 11+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
11726b |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-304876 = -1 · 22 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 11+ 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11,33] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [-1:7:1] |
Generators of the group modulo torsion |
j |
-154854153/304876 |
j-invariant |
L |
3.974113509803 |
L(r)(E,1)/r! |
Ω |
2.7313942847341 |
Real period |
R |
0.36374403468722 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808bi1 105534bm1 128986x1 |
Quadratic twists by: -4 -3 -11 |