Atkin-Lehner |
2+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
22192a |
Isogeny class |
Conductor |
22192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3008 |
Modular degree for the optimal curve |
Δ |
-355072 = -1 · 28 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 2 0 4 0 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[994080:5135907:32768] |
Generators of the group modulo torsion |
j |
-170368000/1387 |
j-invariant |
L |
8.5491480936096 |
L(r)(E,1)/r! |
Ω |
0.81532948220486 |
Real period |
R |
10.48551325593 |
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 |
11096a1 88768n1 |
Quadratic twists by: -4 8 |