Atkin-Lehner |
3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
11163d |
Isogeny class |
Conductor |
11163 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
439200 |
Modular degree for the optimal curve |
Δ |
-8525032501676088789 = -1 · 36 · 619 |
Discriminant |
Eigenvalues |
1 3- 3 3 -5 -3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4033642,3120955517] |
[a1,a2,a3,a4,a6] |
Generators |
[497035:5879798:343] |
Generators of the group modulo torsion |
j |
-620650477/729 |
j-invariant |
L |
7.9679024792754 |
L(r)(E,1)/r! |
Ω |
0.23151103101268 |
Real period |
R |
2.8680787708841 |
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 |
33489k1 11163f1 |
Quadratic twists by: -3 61 |