Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960ba |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
417238046720000 = 214 · 54 · 116 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 11- 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304892,-64791376] |
[a1,a2,a3,a4,a6] |
Generators |
[773:12705:1] |
Generators of the group modulo torsion |
j |
191311845106276944/25466189375 |
j-invariant |
L |
6.3177930757661 |
L(r)(E,1)/r! |
Ω |
0.20317324466456 |
Real period |
R |
2.5912996421376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80960bz2 5060a2 |
Quadratic twists by: -4 8 |