Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661o |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
12929821749 = 39 · 134 · 23 |
Discriminant |
Eigenvalues |
-2 3- -3 -2 -3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-732,-5560] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:19:1] [-12:40:1] |
Generators of the group modulo torsion |
j |
1520816128/452709 |
j-invariant |
L |
3.333958174145 |
L(r)(E,1)/r! |
Ω |
0.93881424707048 |
Real period |
R |
0.13152754419841 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34983q1 11661n1 |
Quadratic twists by: -3 13 |