Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50540l |
Isogeny class |
Conductor |
50540 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-309909264946951600 = -1 · 24 · 52 · 74 · 199 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54872,27237089] |
[a1,a2,a3,a4,a6] |
j |
-3538944/60025 |
j-invariant |
L |
3.0998148992918 |
L(r)(E,1)/r! |
Ω |
0.25831790825251 |
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 |
50540m1 |
Quadratic twists by: -19 |