Atkin-Lehner |
2+ 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
83544c |
Isogeny class |
Conductor |
83544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103936 |
Modular degree for the optimal curve |
Δ |
-2024665614768 = -1 · 24 · 3 · 596 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2321,-54020] |
[a1,a2,a3,a4,a6] |
j |
2048/3 |
j-invariant |
L |
0.43893200749515 |
L(r)(E,1)/r! |
Ω |
0.43893200575718 |
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 |
24a4 |
Quadratic twists by: -59 |