Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30960x |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2981385584640 = 214 · 39 · 5 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46467,3854466] |
[a1,a2,a3,a4,a6] |
Generators |
[151:530:1] |
Generators of the group modulo torsion |
j |
137627865747/36980 |
j-invariant |
L |
5.7588009054558 |
L(r)(E,1)/r! |
Ω |
0.78300534634443 |
Real period |
R |
3.6773701050329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3870c2 123840dt2 30960r2 |
Quadratic twists by: -4 8 -3 |