Atkin-Lehner |
2- 3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19608f |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
-26072679168 = -1 · 28 · 38 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -3 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,727,-2115] |
[a1,a2,a3,a4,a6] |
Generators |
[23:162:1] |
Generators of the group modulo torsion |
j |
165763712000/101846403 |
j-invariant |
L |
4.5838933435324 |
L(r)(E,1)/r! |
Ω |
0.68833437248739 |
Real period |
R |
0.83242489528888 |
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 |
39216d1 58824f1 |
Quadratic twists by: -4 -3 |