Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5976c |
Isogeny class |
Conductor |
5976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-968112 = -1 · 24 · 36 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 3 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,-47] |
[a1,a2,a3,a4,a6] |
j |
2048/83 |
j-invariant |
L |
2.6744574342645 |
L(r)(E,1)/r! |
Ω |
1.3372287171323 |
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 |
11952e1 47808y1 664b1 |
Quadratic twists by: -4 8 -3 |