Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928a |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-19003262876416 = -1 · 28 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 2 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11492,518492] |
[a1,a2,a3,a4,a6] |
Generators |
[481:10309:1] |
Generators of the group modulo torsion |
j |
-135834624/15379 |
j-invariant |
L |
4.8701215661791 |
L(r)(E,1)/r! |
Ω |
0.66833037204445 |
Real period |
R |
3.6434986122815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9464c1 75712br1 1456d1 |
Quadratic twists by: -4 8 13 |