Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826y |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
55890506628 = 22 · 33 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1993,-33133] |
[a1,a2,a3,a4,a6] |
Generators |
[30295160:369279791:175616] |
Generators of the group modulo torsion |
j |
18609625/1188 |
j-invariant |
L |
7.4584812223823 |
L(r)(E,1)/r! |
Ω |
0.71739225781973 |
Real period |
R |
10.396656976826 |
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 |
71478ba1 66a1 |
Quadratic twists by: -3 -19 |