Atkin-Lehner |
3- 13+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
85527b |
Isogeny class |
Conductor |
85527 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
838969658054577387 = 314 · 132 · 176 · 43 |
Discriminant |
Eigenvalues |
1 3- 0 -4 -2 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-423432,96569473] |
[a1,a2,a3,a4,a6] |
Generators |
[-568:12677:1] |
Generators of the group modulo torsion |
j |
11517223328239722625/1150850011048803 |
j-invariant |
L |
4.1462986940973 |
L(r)(E,1)/r! |
Ω |
0.27374914974256 |
Real period |
R |
1.2621953006936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28509a2 |
Quadratic twists by: -3 |