Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17545g |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-37247070025 = -1 · 52 · 116 · 292 |
Discriminant |
Eigenvalues |
1 0 5+ 2 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,280,-9179] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3331:1] |
Generators of the group modulo torsion |
j |
1367631/21025 |
j-invariant |
L |
5.2822369973453 |
L(r)(E,1)/r! |
Ω |
0.56451655326329 |
Real period |
R |
4.6785492531711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87725o2 145a2 |
Quadratic twists by: 5 -11 |