Atkin-Lehner |
2+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928g |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
52324628048 = 24 · 77 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-947,1882] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:98:1] |
Generators of the group modulo torsion |
j |
49948672/27797 |
j-invariant |
L |
5.1928630562049 |
L(r)(E,1)/r! |
Ω |
0.97257655861306 |
Real period |
R |
1.3348211538237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704c1 |
Quadratic twists by: -7 |