Atkin-Lehner |
2+ 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
11726d |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-78048256 = -1 · 210 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ -2 1 -3 11- 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8,-426] |
[a1,a2,a3,a4,a6] |
Generators |
[8:2:1] [9:11:1] |
Generators of the group modulo torsion |
j |
-47045881/78048256 |
j-invariant |
L |
3.6029367672643 |
L(r)(E,1)/r! |
Ω |
0.87362955515436 |
Real period |
R |
1.031025320174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808u1 105534bd1 128986be1 |
Quadratic twists by: -4 -3 -11 |