Atkin-Lehner |
2- 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50666l |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-24934895654284 = -1 · 22 · 77 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11+ 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1142,-240075] |
[a1,a2,a3,a4,a6] |
j |
1401168159/211943116 |
j-invariant |
L |
2.5390083436254 |
L(r)(E,1)/r! |
Ω |
0.31737604302541 |
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 |
7238f1 |
Quadratic twists by: -7 |