Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950cr |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-561093750000 = -1 · 24 · 33 · 510 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1037,-33583] |
[a1,a2,a3,a4,a6] |
j |
7892485271/35910000 |
j-invariant |
L |
5.5806071055174 |
L(r)(E,1)/r! |
Ω |
0.46505059212645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850bt1 3990a1 |
Quadratic twists by: -3 5 |