Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592bn |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-31878698682580992 = -1 · 215 · 314 · 112 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39647,-8021761] |
[a1,a2,a3,a4,a6] |
Generators |
[218:-3321:1] [203:2904:1] |
Generators of the group modulo torsion |
j |
210326413123000/972860677569 |
j-invariant |
L |
12.696059833654 |
L(r)(E,1)/r! |
Ω |
0.18666352330995 |
Real period |
R |
1.2145669928024 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592e2 43296b2 |
Quadratic twists by: -4 8 |