Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560cn |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-1167846400 = -1 · 210 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-301,2499] |
[a1,a2,a3,a4,a6] |
Generators |
[7:28:1] |
Generators of the group modulo torsion |
j |
-2955053056/1140475 |
j-invariant |
L |
3.8487595483284 |
L(r)(E,1)/r! |
Ω |
1.4485143334205 |
Real period |
R |
0.66425983152664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560k1 10640h1 |
Quadratic twists by: -4 8 |