Atkin-Lehner |
5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17885l |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
103103465885 = 5 · 710 · 73 |
Discriminant |
Eigenvalues |
0 2 5- 7- -6 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36815,-2706572] |
[a1,a2,a3,a4,a6] |
Generators |
[3162206782:44979953818:9393931] |
Generators of the group modulo torsion |
j |
19535724544/365 |
j-invariant |
L |
5.7925284149901 |
L(r)(E,1)/r! |
Ω |
0.34466156627539 |
Real period |
R |
16.806423987413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425w1 17885d1 |
Quadratic twists by: 5 -7 |