Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960co |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-1106860054889568000 = -1 · 28 · 3 · 53 · 714 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52740,-50814588] |
[a1,a2,a3,a4,a6] |
j |
-538671647824/36750606375 |
j-invariant |
L |
1.4553564255523 |
L(r)(E,1)/r! |
Ω |
0.12127971734717 |
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 |
14280bv1 |
Quadratic twists by: -7 |