Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885v |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
-548582580875 = -1 · 53 · 77 · 732 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -1 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-217380,38937784] |
[a1,a2,a3,a4,a6] |
Generators |
[268:24:1] [541:8942:1] |
Generators of the group modulo torsion |
j |
-9655977011728384/4662875 |
j-invariant |
L |
4.583320826834 |
L(r)(E,1)/r! |
Ω |
0.75486002597096 |
Real period |
R |
0.2529895537552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425q1 2555d1 |
Quadratic twists by: 5 -7 |