Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824v |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1054273968 = -1 · 24 · 38 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-269,-2220] |
[a1,a2,a3,a4,a6] |
j |
-135043612672/65892123 |
j-invariant |
L |
0.57586135294837 |
L(r)(E,1)/r! |
Ω |
0.57586135280479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10956c1 |
Quadratic twists by: -4 |