Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bc |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4870947192832 = 214 · 77 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6076,-148176] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:147:1] |
Generators of the group modulo torsion |
j |
12869712/2527 |
j-invariant |
L |
3.7438552498216 |
L(r)(E,1)/r! |
Ω |
0.5481524768043 |
Real period |
R |
1.7074880658718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59584cg2 3724a2 8512b2 |
Quadratic twists by: -4 8 -7 |