Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100a |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
97298381250000 = 24 · 33 · 58 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1929033,1031878062] |
[a1,a2,a3,a4,a6] |
j |
3175432607945703424/389193525 |
j-invariant |
L |
0.93062741927008 |
L(r)(E,1)/r! |
Ω |
0.46531370544375 |
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 |
17220k1 |
Quadratic twists by: 5 |