Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200be |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-16629760000000 = -1 · 220 · 57 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6325,-31750] |
[a1,a2,a3,a4,a6] |
Generators |
[8420:112275:64] |
Generators of the group modulo torsion |
j |
437245479/259840 |
j-invariant |
L |
5.1598699080204 |
L(r)(E,1)/r! |
Ω |
0.40613172544293 |
Real period |
R |
6.3524585558963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10150m1 16240t1 |
Quadratic twists by: -4 5 |