Atkin-Lehner |
3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975ba |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1670150390625 = 37 · 59 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-687380,219524622] |
[a1,a2,a3,a4,a6] |
Generators |
[2504:117885:1] |
Generators of the group modulo torsion |
j |
3153306897252721/146625 |
j-invariant |
L |
3.1415229029606 |
L(r)(E,1)/r! |
Ω |
0.62783288960897 |
Real period |
R |
5.0037565034106 |
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 |
29325c1 17595l1 |
Quadratic twists by: -3 5 |