Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12844c |
Isogeny class |
Conductor |
12844 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-6886273249648 = -1 · 24 · 137 · 193 |
Discriminant |
Eigenvalues |
2- -2 0 -2 0 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3098,-143675] |
[a1,a2,a3,a4,a6] |
j |
-42592000/89167 |
j-invariant |
L |
0.6002305453784 |
L(r)(E,1)/r! |
Ω |
0.3001152726892 |
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 |
51376w1 115596l1 988d1 |
Quadratic twists by: -4 -3 13 |