Atkin-Lehner |
11- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
85063d |
Isogeny class |
Conductor |
85063 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
6770406910795517 = 117 · 193 · 373 |
Discriminant |
Eigenvalues |
0 -2 0 4 11- 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-85103,8668842] |
[a1,a2,a3,a4,a6] |
Generators |
[546:11192:1] |
Generators of the group modulo torsion |
j |
38477541376000/3821718197 |
j-invariant |
L |
3.8177896438177 |
L(r)(E,1)/r! |
Ω |
0.40912433689105 |
Real period |
R |
1.5552686970401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7733d2 |
Quadratic twists by: -11 |