Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950bj |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-2185147819050000000 = -1 · 27 · 3 · 58 · 79 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-254451,-86617202] |
[a1,a2,a3,a4,a6] |
j |
-4664162897859145/5593978416768 |
j-invariant |
L |
1.8291940818588 |
L(r)(E,1)/r! |
Ω |
0.1016218934366 |
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 |
59850gk1 19950bo1 |
Quadratic twists by: -3 5 |