Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200dm |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-20679432192000000 = -1 · 217 · 312 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56767,-4538337] |
[a1,a2,a3,a4,a6] |
Generators |
[217:4248:1] |
Generators of the group modulo torsion |
j |
9878111854/10097379 |
j-invariant |
L |
8.558083042614 |
L(r)(E,1)/r! |
Ω |
0.20834509656016 |
Real period |
R |
3.4230399422353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ey3 11400u4 3648i4 |
Quadratic twists by: -4 8 5 |