Atkin-Lehner |
2- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460j |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
46240762960 = 24 · 5 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1972,-32079] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:9:1] |
Generators of the group modulo torsion |
j |
10788913152/588245 |
j-invariant |
L |
6.1371645777828 |
L(r)(E,1)/r! |
Ω |
0.71886165462916 |
Real period |
R |
2.8457791742726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40460f1 |
Quadratic twists by: 17 |