Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032a |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
127459985408 = 211 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -6 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1715,21266] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:196:1] [7:98:1] |
Generators of the group modulo torsion |
j |
2315250/529 |
j-invariant |
L |
6.8612350073289 |
L(r)(E,1)/r! |
Ω |
0.9819326484496 |
Real period |
R |
0.87343503372691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9016f2 72128bb2 368a2 |
Quadratic twists by: -4 8 -7 |