Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824bl |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-12217430016 = -1 · 212 · 33 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11- -6 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1925,32307] |
[a1,a2,a3,a4,a6] |
Generators |
[22:33:1] |
Generators of the group modulo torsion |
j |
-192699928576/2982771 |
j-invariant |
L |
8.0336062476352 |
L(r)(E,1)/r! |
Ω |
1.2706474948814 |
Real period |
R |
0.70249453132993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2739b1 |
Quadratic twists by: -4 |