Atkin-Lehner |
5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
17675b |
Isogeny class |
Conductor |
17675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-276171875 = -1 · 58 · 7 · 101 |
Discriminant |
Eigenvalues |
1 -3 5+ 7+ 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-292,-2009] |
[a1,a2,a3,a4,a6] |
j |
-176558481/17675 |
j-invariant |
L |
1.1482241949731 |
L(r)(E,1)/r! |
Ω |
0.57411209748657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3535c1 123725c1 |
Quadratic twists by: 5 -7 |