Atkin-Lehner |
19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24187c |
Isogeny class |
Conductor |
24187 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4140 |
Modular degree for the optimal curve |
Δ |
-24187 = -1 · 192 · 67 |
Discriminant |
Eigenvalues |
-2 -2 4 -2 0 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-77824/67 |
j-invariant |
L |
2.3236830870437 |
L(r)(E,1)/r! |
Ω |
1.4522239480908 |
Real period |
R |
1.6000859165685 |
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 |
24187a1 |
Quadratic twists by: -19 |