Atkin-Lehner |
3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4095d |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
6988407323625 = 39 · 53 · 75 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -6 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1181859,494830088] |
[a1,a2,a3,a4,a6] |
j |
9275335480470938787/355047875 |
j-invariant |
L |
1.6582867896267 |
L(r)(E,1)/r! |
Ω |
0.55276226320891 |
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 |
65520ci1 4095a1 20475l1 28665i1 |
Quadratic twists by: -4 -3 5 -7 |