Atkin-Lehner |
2+ 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010q |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-676582131620021400 = -1 · 23 · 312 · 52 · 236 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-291465,-72276219] |
[a1,a2,a3,a4,a6] |
Generators |
[4863:334461:1] |
Generators of the group modulo torsion |
j |
-3756265266504266641/928096202496600 |
j-invariant |
L |
4.9132886180496 |
L(r)(E,1)/r! |
Ω |
0.10141577326943 |
Real period |
R |
4.0372488915591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670z2 |
Quadratic twists by: -3 |