Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bk |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
Δ |
-2.8103530335631E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,631320,-783113879] |
[a1,a2,a3,a4,a6] |
j |
2385749517615104000/24094247544265283 |
j-invariant |
L |
2.3123138496946 |
L(r)(E,1)/r! |
Ω |
0.085641256114767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9548b2 |
Quadratic twists by: -3 |