Atkin-Lehner |
2- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
13072h |
Isogeny class |
Conductor |
13072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-209152 = -1 · 28 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 -3 0 0 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1,-22] |
[a1,a2,a3,a4,a6] |
j |
432/817 |
j-invariant |
L |
1.4697757008409 |
L(r)(E,1)/r! |
Ω |
1.4697757008409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3268a1 52288k1 117648cd1 |
Quadratic twists by: -4 8 -3 |