Atkin-Lehner |
2+ 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952d |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-943353939383488512 = -1 · 212 · 318 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -4 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-262481,69821313] |
[a1,a2,a3,a4,a6] |
j |
-488268868033624384/230311020357297 |
j-invariant |
L |
1.5631175476782 |
L(r)(E,1)/r! |
Ω |
0.26051959127969 |
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 |
17952j2 35904df1 53856ba2 |
Quadratic twists by: -4 8 -3 |