Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bq |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
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 |
[-83:84:1] |
Generators of the group modulo torsion |
j |
3941317078336/2340975 |
j-invariant |
L |
5.5210317677223 |
L(r)(E,1)/r! |
Ω |
1.2788133946849 |
Real period |
R |
2.158654183116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680ce4 87360ga1 |
Quadratic twists by: -4 8 |