Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600c |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1037232000000 = -1 · 210 · 33 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-733,49837] |
[a1,a2,a3,a4,a6] |
Generators |
[21:208:1] |
Generators of the group modulo torsion |
j |
-2725888/64827 |
j-invariant |
L |
4.9627578218583 |
L(r)(E,1)/r! |
Ω |
0.73412570100943 |
Real period |
R |
3.3800463701475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gl1 4200x1 100800db1 1344j1 |
Quadratic twists by: -4 8 -3 5 |