Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885x |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
204288 |
Modular degree for the optimal curve |
Δ |
-342864113046875 = -1 · 57 · 77 · 732 |
Discriminant |
Eigenvalues |
-2 -3 5- 7- -5 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,17003,255792] |
[a1,a2,a3,a4,a6] |
Generators |
[7:612:1] [32:912:1] |
Generators of the group modulo torsion |
j |
4620746428416/2914296875 |
j-invariant |
L |
2.4353684388136 |
L(r)(E,1)/r! |
Ω |
0.33524374010961 |
Real period |
R |
0.12972269700682 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425s1 2555e1 |
Quadratic twists by: 5 -7 |