Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560cn |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
4286592000 = 210 · 32 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1581,24525] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:183:1] |
Generators of the group modulo torsion |
j |
427065051136/4186125 |
j-invariant |
L |
4.252391527948 |
L(r)(E,1)/r! |
Ω |
1.3895799611665 |
Real period |
R |
1.5300996153299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bg1 14640n1 |
Quadratic twists by: -4 8 |