Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16810c |
Isogeny class |
Conductor |
16810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
689210000 = 24 · 54 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-479,-3715] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:17:1] [-11:17:1] |
Generators of the group modulo torsion |
j |
176558481/10000 |
j-invariant |
L |
5.0085148666101 |
L(r)(E,1)/r! |
Ω |
1.0240119186027 |
Real period |
R |
1.2227677177444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84050h1 16810b1 |
Quadratic twists by: 5 41 |