Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680ce |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9588633600 = 212 · 3 · 52 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5265,-148737] |
[a1,a2,a3,a4,a6] |
Generators |
[101:600:1] |
Generators of the group modulo torsion |
j |
3941317078336/2340975 |
j-invariant |
L |
7.7716663016805 |
L(r)(E,1)/r! |
Ω |
0.56047799976227 |
Real period |
R |
3.4665349509608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bq4 87360dv1 |
Quadratic twists by: -4 8 |