Atkin-Lehner |
7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26299h |
Isogeny class |
Conductor |
26299 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3398014551113 = 72 · 132 · 177 |
Discriminant |
Eigenvalues |
-1 2 0 7- 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3763,3760] |
[a1,a2,a3,a4,a6] |
Generators |
[8020:74855:64] |
Generators of the group modulo torsion |
j |
244140625/140777 |
j-invariant |
L |
5.3909039995682 |
L(r)(E,1)/r! |
Ω |
0.67502852341169 |
Real period |
R |
1.9965467430627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1547a1 |
Quadratic twists by: 17 |