Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742a |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
28323497615694732 = 22 · 33 · 116 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77862,2109528] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:3240:1] [-17:1860:1] |
Generators of the group modulo torsion |
j |
13060888875/7086244 |
j-invariant |
L |
8.2192627461801 |
L(r)(E,1)/r! |
Ω |
0.32593238703072 |
Real period |
R |
3.1522115753567 |
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 |
104742bg4 198d2 |
Quadratic twists by: -3 -23 |