Atkin-Lehner |
2+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650z |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-1294741362880000 = -1 · 29 · 54 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-450825,-116710075] |
[a1,a2,a3,a4,a6] |
Generators |
[88979970843:-2413702774585:75686967] |
Generators of the group modulo torsion |
j |
-137810063865625/17608192 |
j-invariant |
L |
6.270634986628 |
L(r)(E,1)/r! |
Ω |
0.092122158772634 |
Real period |
R |
17.017173365706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41650ce1 5950j1 |
Quadratic twists by: 5 -7 |