Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bu |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.9370437425002E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2998092,11892179824] |
[a1,a2,a3,a4,a6] |
j |
-15595206456730321/310672490129100 |
j-invariant |
L |
1.495476256492 |
L(r)(E,1)/r! |
Ω |
0.093467266030579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680dh5 990c6 10560q6 |
Quadratic twists by: -4 8 -3 |