Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325bf |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-149857020263671875 = -1 · 313 · 513 · 7 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,122550,-8615219] |
[a1,a2,a3,a4,a6] |
j |
17869652393984/13156171875 |
j-invariant |
L |
1.4590822463931 |
L(r)(E,1)/r! |
Ω |
0.18238528079914 |
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 |
5775h1 3465g1 121275dy1 |
Quadratic twists by: -3 5 -7 |