Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730bc |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1165074352873210000 = -1 · 24 · 54 · 136 · 176 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -6 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-418025,116235625] |
[a1,a2,a3,a4,a6] |
Generators |
[-480:-14125:1] [-548:13721:1] |
Generators of the group modulo torsion |
j |
-1673672305534489/241375690000 |
j-invariant |
L |
8.5548325968856 |
L(r)(E,1)/r! |
Ω |
0.26511645910865 |
Real period |
R |
0.33612714899153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
170b2 |
Quadratic twists by: 13 |