Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960dl |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
-987856299360000 = -1 · 28 · 32 · 54 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32356,-2713600] |
[a1,a2,a3,a4,a6] |
Generators |
[550:12090:1] |
Generators of the group modulo torsion |
j |
-362642992/95625 |
j-invariant |
L |
7.8976111238921 |
L(r)(E,1)/r! |
Ω |
0.17556281412148 |
Real period |
R |
5.6230665684371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960cn1 |
Quadratic twists by: -7 |