Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bg |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4129056000 = 28 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -5 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15888,770812] |
[a1,a2,a3,a4,a6] |
Generators |
[74:18:1] |
Generators of the group modulo torsion |
j |
2376642789376/22125 |
j-invariant |
L |
4.7180472922495 |
L(r)(E,1)/r! |
Ω |
1.2515325043314 |
Real period |
R |
0.47122700328595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10620i1 14160bc1 |
Quadratic twists by: -4 -3 |