Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bx |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
1513130625000000 = 26 · 310 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30477,-831404] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:500:1] |
Generators of the group modulo torsion |
j |
67101596779456/32431640625 |
j-invariant |
L |
6.1608293738675 |
L(r)(E,1)/r! |
Ω |
0.37922688727816 |
Real period |
R |
1.624576099545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040z1 118080bh2 19680h1 |
Quadratic twists by: -4 8 -3 |