Atkin-Lehner |
2- 3+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42864c |
Isogeny class |
Conductor |
42864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
85494134016 = 28 · 39 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 5 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1101,369] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:114:1] |
Generators of the group modulo torsion |
j |
577085415424/333961461 |
j-invariant |
L |
5.8177875579946 |
L(r)(E,1)/r! |
Ω |
0.91033316108064 |
Real period |
R |
1.5977083464408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10716a1 128592l1 |
Quadratic twists by: -4 -3 |