Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775be |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-191173850986078125 = -1 · 320 · 56 · 112 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77967,-22624434] |
[a1,a2,a3,a4,a6] |
Generators |
[161943474:2023633038:357911] |
Generators of the group modulo torsion |
j |
-4601630708137/16783438221 |
j-invariant |
L |
8.8646741716779 |
L(r)(E,1)/r! |
Ω |
0.13091175057956 |
Real period |
R |
8.4643606604362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23925u2 2871c2 |
Quadratic twists by: -3 5 |