Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bo |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1111320 |
Modular degree for the optimal curve |
Δ |
-119393554217140224 = -1 · 215 · 37 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -3 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64020,-17760494] |
[a1,a2,a3,a4,a6] |
j |
-17417218777/71663616 |
j-invariant |
L |
2.8719435257667 |
L(r)(E,1)/r! |
Ω |
0.13675921901206 |
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 |
84966y1 84966h1 |
Quadratic twists by: -7 17 |