Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640dq |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15608694214656000 = 215 · 34 · 53 · 196 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30806416,-65822995180] |
[a1,a2,a3,a4,a6] |
j |
16778985534208729/81000 |
j-invariant |
L |
4.6139379339762 |
L(r)(E,1)/r! |
Ω |
0.064082472482503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830v8 240b8 |
Quadratic twists by: -4 -19 |