Atkin-Lehner |
2- 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96900m |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-294333750000 = -1 · 24 · 36 · 57 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 0 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23158,1364437] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:1647:1] [87:25:1] |
Generators of the group modulo torsion |
j |
-5494214435584/1177335 |
j-invariant |
L |
7.8585558636227 |
L(r)(E,1)/r! |
Ω |
0.94584191088592 |
Real period |
R |
1.0385662461893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19380j1 |
Quadratic twists by: 5 |