Atkin-Lehner |
2+ 3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22446c |
Isogeny class |
Conductor |
22446 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-523620288 = -1 · 26 · 38 · 29 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -6 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,162,724] |
[a1,a2,a3,a4,a6] |
Generators |
[5:38:1] |
Generators of the group modulo torsion |
j |
642735647/718272 |
j-invariant |
L |
2.6994330144105 |
L(r)(E,1)/r! |
Ω |
1.0960957882097 |
Real period |
R |
1.2313855428728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7482c1 |
Quadratic twists by: -3 |