Atkin-Lehner |
2- 3+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
85440bb |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4625859944448000 = 216 · 32 · 53 · 894 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106561,13018465] |
[a1,a2,a3,a4,a6] |
Generators |
[304:2937:1] |
Generators of the group modulo torsion |
j |
2041938789387844/70585021125 |
j-invariant |
L |
3.0192183079432 |
L(r)(E,1)/r! |
Ω |
0.43182471635427 |
Real period |
R |
1.7479420401914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440q4 21360e4 |
Quadratic twists by: -4 8 |