Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742a |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131283740405993472 = 212 · 39 · 11 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-307977,63510029] |
[a1,a2,a3,a4,a6] |
Generators |
[-574:7423:1] [-109:9841:1] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
8.2192627461801 |
L(r)(E,1)/r! |
Ω |
0.32593238703072 |
Real period |
R |
12.608846301427 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742bg1 198d3 |
Quadratic twists by: -3 -23 |