Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360cb |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
417885176217600 = 214 · 36 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43121,3288879] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-2340:1] |
Generators of the group modulo torsion |
j |
541228074045136/25505687025 |
j-invariant |
L |
6.9054001914072 |
L(r)(E,1)/r! |
Ω |
0.52494101637623 |
Real period |
R |
0.54810921409956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001415 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360er2 10920e2 |
Quadratic twists by: -4 8 |