Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19836b |
Isogeny class |
Conductor |
19836 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-3296981232 = -1 · 24 · 39 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 -3 -5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,351,-1107] |
[a1,a2,a3,a4,a6] |
Generators |
[4:19:1] |
Generators of the group modulo torsion |
j |
15185664/10469 |
j-invariant |
L |
4.8810192481623 |
L(r)(E,1)/r! |
Ω |
0.79991270103909 |
Real period |
R |
1.5254849816179 |
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 |
79344z1 19836a1 |
Quadratic twists by: -4 -3 |