Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160bq |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
111498854400 = 215 · 33 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28705,1862303] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:852:1] [26:1065:1] |
Generators of the group modulo torsion |
j |
79829160151112/3402675 |
j-invariant |
L |
12.075234940735 |
L(r)(E,1)/r! |
Ω |
0.99067821393989 |
Real period |
R |
2.0314761427872 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160h2 34080z2 |
Quadratic twists by: -4 8 |