Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661i |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
104949 = 33 · 132 · 23 |
Discriminant |
Eigenvalues |
0 3- -3 -2 -3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-17,17] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1:1] [1:1:1] |
Generators of the group modulo torsion |
j |
3407872/621 |
j-invariant |
L |
5.2494923726334 |
L(r)(E,1)/r! |
Ω |
3.1882681341808 |
Real period |
R |
0.54883426275179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34983f1 11661h1 |
Quadratic twists by: -3 13 |