Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810f |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-48402042480000 = -1 · 27 · 36 · 54 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30105,-2030675] |
[a1,a2,a3,a4,a6] |
Generators |
[255:2485:1] |
Generators of the group modulo torsion |
j |
-4139236042638481/66395120000 |
j-invariant |
L |
2.3928630021916 |
L(r)(E,1)/r! |
Ω |
0.18104870763237 |
Real period |
R |
1.101390077788 |
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 |
2090o1 94050db1 |
Quadratic twists by: -3 5 |