Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10736i |
Isogeny class |
Conductor |
10736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
912 |
Modular degree for the optimal curve |
Δ |
-10736 = -1 · 24 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -3 -2 -1 11- 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
-6912/671 |
j-invariant |
L |
2.1045166641774 |
L(r)(E,1)/r! |
Ω |
1.7928356610482 |
Real period |
R |
1.1738480608685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2684a1 42944t1 96624bg1 118096bk1 |
Quadratic twists by: -4 8 -3 -11 |