Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080eg |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
106701429474754560 = 215 · 318 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360588,-81846992] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:936:1] |
Generators of the group modulo torsion |
j |
217060129661192/4466761605 |
j-invariant |
L |
4.6305791600698 |
L(r)(E,1)/r! |
Ω |
0.19506982248226 |
Real period |
R |
2.9672575074661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080dx2 59040u2 39360dd2 |
Quadratic twists by: -4 8 -3 |