Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640cc |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1067634684282470400 = 216 · 36 · 52 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9348576,11004869376] |
[a1,a2,a3,a4,a6] |
Generators |
[3813:175446:1] |
Generators of the group modulo torsion |
j |
468898230633769/5540400 |
j-invariant |
L |
5.297825248139 |
L(r)(E,1)/r! |
Ω |
0.25083457983382 |
Real period |
R |
2.6400991320781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830bc2 4560z2 |
Quadratic twists by: -4 -19 |