Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340bc |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-142678824750000 = -1 · 24 · 32 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2679,-571320] |
[a1,a2,a3,a4,a6] |
j |
1129201664/75796875 |
j-invariant |
L |
1.6618183213886 |
L(r)(E,1)/r! |
Ω |
0.2769697202321 |
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 |
129360ek1 97020cz1 4620d1 |
Quadratic twists by: -4 -3 -7 |