Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640u |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10839370982400 = 210 · 32 · 52 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5896,-74620] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:126:1] |
Generators of the group modulo torsion |
j |
470596/225 |
j-invariant |
L |
7.0159964142336 |
L(r)(E,1)/r! |
Ω |
0.57120394928829 |
Real period |
R |
3.0707054909696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43320t2 240c2 |
Quadratic twists by: -4 -19 |