Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592c |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
412157611008 = 210 · 39 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4755,-122366] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:22:1] [-37:54:1] |
Generators of the group modulo torsion |
j |
15927506500/552123 |
j-invariant |
L |
6.8595109359721 |
L(r)(E,1)/r! |
Ω |
0.57615018799543 |
Real period |
R |
1.4882211007858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10296e2 82368ew2 6864i2 |
Quadratic twists by: -4 8 -3 |