Atkin-Lehner |
2- 5- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17630i |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
19407104000000 = 214 · 56 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 0 5- -2 2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11512,428411] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:809:1] |
Generators of the group modulo torsion |
j |
168709946186534481/19407104000000 |
j-invariant |
L |
7.711625717837 |
L(r)(E,1)/r! |
Ω |
0.66350014421934 |
Real period |
R |
0.27672960999128 |
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 |
88150d1 |
Quadratic twists by: 5 |