Atkin-Lehner |
3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661c |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18096 |
Modular degree for the optimal curve |
Δ |
-1294564654227 = -1 · 3 · 138 · 232 |
Discriminant |
Eigenvalues |
2 3+ 2 1 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-732,-55027] |
[a1,a2,a3,a4,a6] |
Generators |
[47090:112223:1000] |
Generators of the group modulo torsion |
j |
-53248/1587 |
j-invariant |
L |
8.7992625907523 |
L(r)(E,1)/r! |
Ω |
0.37358569278192 |
Real period |
R |
3.9255886760671 |
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 |
34983r1 11661d1 |
Quadratic twists by: -3 13 |