Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466c |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-5081536859929586784 = -1 · 25 · 39 · 710 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1333005,602553797] |
[a1,a2,a3,a4,a6] |
j |
-47113735347/913952 |
j-invariant |
L |
0.9706982781641 |
L(r)(E,1)/r! |
Ω |
0.24267456954102 |
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 |
91728ck1 11466bk1 11466a1 |
Quadratic twists by: -4 -3 -7 |