Atkin-Lehner |
2- 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11726m |
Isogeny class |
Conductor |
11726 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-22701536 = -1 · 25 · 113 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -3 -3 4 11- 13- 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6,-231] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
27818127/22701536 |
j-invariant |
L |
3.9588794030801 |
L(r)(E,1)/r! |
Ω |
0.99867977026031 |
Real period |
R |
0.26427419619192 |
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 |
93808be1 105534k1 128986g1 |
Quadratic twists by: -4 -3 -11 |