Atkin-Lehner |
5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17885m |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-125195 = -1 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
1 1 5- 7- 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[46:85:8] |
Generators of the group modulo torsion |
j |
4913/365 |
j-invariant |
L |
7.6737978159558 |
L(r)(E,1)/r! |
Ω |
1.5725528375019 |
Real period |
R |
2.439917321998 |
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 |
89425z1 17885g1 |
Quadratic twists by: 5 -7 |