Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18810n |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1847946574237500 = -1 · 22 · 312 · 55 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8469,-2087775] |
[a1,a2,a3,a4,a6] |
Generators |
[216:2367:1] |
Generators of the group modulo torsion |
j |
-92155535561809/2534906137500 |
j-invariant |
L |
4.4841543465434 |
L(r)(E,1)/r! |
Ω |
0.20363946166448 |
Real period |
R |
0.55050164514917 |
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 |
6270o1 94050dk1 |
Quadratic twists by: -3 5 |