Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100d |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119232 |
Modular degree for the optimal curve |
Δ |
-168131602800 = -1 · 24 · 36 · 52 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,622,18597] |
[a1,a2,a3,a4,a6] |
j |
66425749760/420329007 |
j-invariant |
L |
2.9541354158801 |
L(r)(E,1)/r! |
Ω |
0.73853387244422 |
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 |
86100bo1 |
Quadratic twists by: 5 |