Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050bd |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
6488100000000 = 28 · 36 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11630,-464003] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:155:1] |
Generators of the group modulo torsion |
j |
15271450641/569600 |
j-invariant |
L |
7.7210243585186 |
L(r)(E,1)/r! |
Ω |
0.46079021546345 |
Real period |
R |
1.0472531885727 |
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 |
4450c1 8010a1 |
Quadratic twists by: -3 5 |