Atkin-Lehner |
5+ 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17255a |
Isogeny class |
Conductor |
17255 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-1233473675 = -1 · 52 · 7 · 172 · 293 |
Discriminant |
Eigenvalues |
-2 1 5+ 7+ 0 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,224,-1020] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-149:8] [12:59:1] |
Generators of the group modulo torsion |
j |
1237449568256/1233473675 |
j-invariant |
L |
4.0032654089832 |
L(r)(E,1)/r! |
Ω |
0.83499658111475 |
Real period |
R |
0.39952912178792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86275l1 120785n1 |
Quadratic twists by: 5 -7 |