Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ev |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11131756376832 = 28 · 37 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8967,284690] |
[a1,a2,a3,a4,a6] |
j |
3631696/507 |
j-invariant |
L |
1.3810457581093 |
L(r)(E,1)/r! |
Ω |
0.69052290757204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22932s2 30576bw2 1872t2 |
Quadratic twists by: -4 -3 -7 |