Atkin-Lehner |
2- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008bm |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-77622272 = -1 · 210 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 3 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-773] |
[a1,a2,a3,a4,a6] |
j |
-256000000/75803 |
j-invariant |
L |
1.3838460667659 |
L(r)(E,1)/r! |
Ω |
0.69192315855829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008u1 24752t1 |
Quadratic twists by: -4 8 |