Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17745p |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-13258116273602655 = -1 · 36 · 5 · 73 · 139 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58724,-824929] |
[a1,a2,a3,a4,a6] |
Generators |
[23:722:1] |
Generators of the group modulo torsion |
j |
2111932187/1250235 |
j-invariant |
L |
2.831930200882 |
L(r)(E,1)/r! |
Ω |
0.23310909832179 |
Real period |
R |
4.0495061772502 |
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 |
53235bh1 88725x1 124215bq1 17745x1 |
Quadratic twists by: -3 5 -7 13 |