Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710f |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-10496144612800 = -1 · 26 · 52 · 7 · 116 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81631,8971545] |
[a1,a2,a3,a4,a6] |
j |
-60157446691437971569/10496144612800 |
j-invariant |
L |
2.7981146490928 |
L(r)(E,1)/r! |
Ω |
0.69952866227319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
88550l1 123970bz1 |
Quadratic twists by: 5 -7 |