Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312k |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
836637567929856 = 29 · 32 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86192,-9611160] |
[a1,a2,a3,a4,a6] |
Generators |
[-66790584:-83793905:373248] |
Generators of the group modulo torsion |
j |
78073482824/922383 |
j-invariant |
L |
7.4421365758609 |
L(r)(E,1)/r! |
Ω |
0.27883197612573 |
Real period |
R |
13.345199289011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312bl3 7392i3 |
Quadratic twists by: -4 -11 |