Atkin-Lehner |
2- 5- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710k |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-4645696409200 = -1 · 24 · 52 · 73 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7580,-277523] |
[a1,a2,a3,a4,a6] |
j |
-48165371010832321/4645696409200 |
j-invariant |
L |
6.1064752043312 |
L(r)(E,1)/r! |
Ω |
0.25443646684713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550h1 123970y1 |
Quadratic twists by: 5 -7 |