Atkin-Lehner |
5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7865a |
Isogeny class |
Conductor |
7865 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
1741665908125 = 54 · 118 · 13 |
Discriminant |
Eigenvalues |
1 3 5+ 2 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29365,1943156] |
[a1,a2,a3,a4,a6] |
j |
13064132169/8125 |
j-invariant |
L |
4.9769163879362 |
L(r)(E,1)/r! |
Ω |
0.82948606465603 |
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 |
125840bq1 70785bb1 39325l1 7865c1 |
Quadratic twists by: -4 -3 5 -11 |