Atkin-Lehner |
5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17675a |
Isogeny class |
Conductor |
17675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-17675 = -1 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
0 3 5+ 7+ 0 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[462:1862:27] |
Generators of the group modulo torsion |
j |
-4423680/707 |
j-invariant |
L |
6.8404246722831 |
L(r)(E,1)/r! |
Ω |
1.330674663252 |
Real period |
R |
5.1405688115876 |
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 |
17675k1 123725m1 |
Quadratic twists by: 5 -7 |