Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
89232w |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
36081137664 = 211 · 36 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5984,175956] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:468:1] [4:390:1] |
Generators of the group modulo torsion |
j |
5267578682/8019 |
j-invariant |
L |
11.351568783135 |
L(r)(E,1)/r! |
Ω |
1.1572310715802 |
Real period |
R |
0.81743749240975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996837 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44616n2 89232o2 |
Quadratic twists by: -4 13 |