Atkin-Lehner |
3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975ba |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
244885801025390625 = 38 · 512 · 172 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-688505,218770872] |
[a1,a2,a3,a4,a6] |
Generators |
[-766:17595:1] |
Generators of the group modulo torsion |
j |
3168814830315841/21498890625 |
j-invariant |
L |
3.1415229029606 |
L(r)(E,1)/r! |
Ω |
0.31391644480449 |
Real period |
R |
2.5018782517053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953036 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29325c2 17595l2 |
Quadratic twists by: -3 5 |