Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600fn |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-9.13217421312E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -7 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10072833,12316773537] |
[a1,a2,a3,a4,a6] |
Generators |
[43959:409600:27] |
Generators of the group modulo torsion |
j |
-1103770289367265/891813888 |
j-invariant |
L |
3.5210162389945 |
L(r)(E,1)/r! |
Ω |
0.18921170714371 |
Real period |
R |
1.5507392451851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600do1 8400cn1 100800oo1 33600gq1 |
Quadratic twists by: -4 8 -3 5 |