Atkin-Lehner |
2- 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118490s |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
6333698105600 = 28 · 52 · 176 · 41 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4630,4627] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:371:1] |
Generators of the group modulo torsion |
j |
454756609/262400 |
j-invariant |
L |
17.367034534404 |
L(r)(E,1)/r! |
Ω |
0.64040361096868 |
Real period |
R |
3.389861142947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
410d1 |
Quadratic twists by: 17 |