Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466bx |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-24818250842146944 = -1 · 27 · 37 · 79 · 133 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1366448,-614510445] |
[a1,a2,a3,a4,a6] |
j |
-9591639636223/843648 |
j-invariant |
L |
1.9549112507634 |
L(r)(E,1)/r! |
Ω |
0.069818258955837 |
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 |
91728ed1 3822c1 11466ck1 |
Quadratic twists by: -4 -3 -7 |