Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
19856d |
Isogeny class |
Conductor |
19856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-166564200448 = -1 · 227 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -5 -7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2171,-43606] |
[a1,a2,a3,a4,a6] |
Generators |
[55:58:1] |
Generators of the group modulo torsion |
j |
-276276047697/40665088 |
j-invariant |
L |
2.5814262635959 |
L(r)(E,1)/r! |
Ω |
0.34688340056684 |
Real period |
R |
3.7208846825441 |
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 |
2482e1 79424j1 |
Quadratic twists by: -4 8 |