Atkin-Lehner |
19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24187a |
Isogeny class |
Conductor |
24187 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
78660 |
Modular degree for the optimal curve |
Δ |
-1137898723747 = -1 · 198 · 67 |
Discriminant |
Eigenvalues |
2 2 4 -2 0 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2286,67129] |
[a1,a2,a3,a4,a6] |
Generators |
[5107190744252:-24746255659823:133903400896] |
Generators of the group modulo torsion |
j |
-77824/67 |
j-invariant |
L |
16.808827027722 |
L(r)(E,1)/r! |
Ω |
0.79506080212185 |
Real period |
R |
21.141561730704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24187c1 |
Quadratic twists by: -19 |