Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592a |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
9367218432 = 28 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11+ 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16767,-835650] |
[a1,a2,a3,a4,a6] |
Generators |
[897:26568:1] |
Generators of the group modulo torsion |
j |
103456682352/1859 |
j-invariant |
L |
3.8078931135288 |
L(r)(E,1)/r! |
Ω |
0.41955237301028 |
Real period |
R |
4.5380426360208 |
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 |
10296h1 82368di1 20592b1 |
Quadratic twists by: -4 8 -3 |