Atkin-Lehner |
2+ 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
36816f |
Isogeny class |
Conductor |
36816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
7657728 = 28 · 3 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9972,-386628] |
[a1,a2,a3,a4,a6] |
Generators |
[66229244510:-711388386912:365525875] |
Generators of the group modulo torsion |
j |
428424311011408/29913 |
j-invariant |
L |
8.5653931715456 |
L(r)(E,1)/r! |
Ω |
0.47774963047961 |
Real period |
R |
17.928623331319 |
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 |
18408h1 110448i1 |
Quadratic twists by: -4 -3 |