Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742o |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.2583127709107E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11+ -7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22886226,-42132264372] |
[a1,a2,a3,a4,a6] |
Generators |
[-6099873:5885112:2197] |
Generators of the group modulo torsion |
j |
12284337086925553/1165987944 |
j-invariant |
L |
2.0052529892699 |
L(r)(E,1)/r! |
Ω |
0.069025328421002 |
Real period |
R |
7.2627433597438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914bi2 4554p2 |
Quadratic twists by: -3 -23 |