Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650b |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
305760 |
Modular degree for the optimal curve |
Δ |
-12544206976000000 = -1 · 213 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -6 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,10183,-5376659] |
[a1,a2,a3,a4,a6] |
Generators |
[41736975:748713029:117649] |
Generators of the group modulo torsion |
j |
1296351/139264 |
j-invariant |
L |
2.6453974775584 |
L(r)(E,1)/r! |
Ω |
0.18966563045906 |
Real period |
R |
13.947690317708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1666i1 41650s1 |
Quadratic twists by: 5 -7 |