Atkin-Lehner |
2- 3- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570br |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
720896 |
Modular degree for the optimal curve |
Δ |
2166659850240000 = 216 · 37 · 54 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38147,-1781629] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:754:1] [-149:834:1] |
Generators of the group modulo torsion |
j |
8421058388527849/2972098560000 |
j-invariant |
L |
17.385368894617 |
L(r)(E,1)/r! |
Ω |
0.35154691947602 |
Real period |
R |
0.38635865360971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190g1 |
Quadratic twists by: -3 |