Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466ce |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-1880508726532380672 = -1 · 211 · 36 · 713 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2032358,1117646709] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
5.8040424728545 |
L(r)(E,1)/r! |
Ω |
0.26382011240248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728eu1 1274d1 1638r1 |
Quadratic twists by: -4 -3 -7 |