Atkin-Lehner |
2+ 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17544a |
Isogeny class |
Conductor |
17544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
72421632 = 28 · 32 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,180] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:24:1] |
Generators of the group modulo torsion |
j |
549250000/282897 |
j-invariant |
L |
4.7649909672932 |
L(r)(E,1)/r! |
Ω |
1.7127444277142 |
Real period |
R |
1.3910396934271 |
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 |
35088g1 52632p1 |
Quadratic twists by: -4 -3 |