Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400cg |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
89250000 = 24 · 3 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2983,63712] |
[a1,a2,a3,a4,a6] |
Generators |
[33:11:1] [41:93:1] |
Generators of the group modulo torsion |
j |
11745974272/357 |
j-invariant |
L |
8.2800870252418 |
L(r)(E,1)/r! |
Ω |
1.7795797816238 |
Real period |
R |
4.6528327140816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2856c1 |
Quadratic twists by: 5 |