Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4095a |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
9586292625 = 33 · 53 · 75 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131318,-18283268] |
[a1,a2,a3,a4,a6] |
Generators |
[157906:1403051:343] |
Generators of the group modulo torsion |
j |
9275335480470938787/355047875 |
j-invariant |
L |
2.1483911293395 |
L(r)(E,1)/r! |
Ω |
0.25079492795015 |
Real period |
R |
8.5663260692677 |
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 |
65520by1 4095d1 20475j1 28665r1 |
Quadratic twists by: -4 -3 5 -7 |