Atkin-Lehner |
2- 3- 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766bg |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
25745675362072848 = 24 · 34 · 73 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-79177,-3740023] |
[a1,a2,a3,a4,a6] |
j |
54893532856025363473/25745675362072848 |
j-invariant |
L |
7.1488477462916 |
L(r)(E,1)/r! |
Ω |
0.29786865609747 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298l1 |
Quadratic twists by: -3 |