Atkin-Lehner |
2- 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810bb |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-62729047054080 = -1 · 28 · 310 · 5 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1678,-380559] |
[a1,a2,a3,a4,a6] |
Generators |
[89:639:1] |
Generators of the group modulo torsion |
j |
717157709351/86048075520 |
j-invariant |
L |
8.3566479291918 |
L(r)(E,1)/r! |
Ω |
0.29458888119621 |
Real period |
R |
0.5909823587069 |
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 |
6270a1 94050r1 |
Quadratic twists by: -3 5 |