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 |
22564392882280128 = 26 · 39 · 112 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4878537,4148676557] |
[a1,a2,a3,a4,a6] |
Generators |
[-2294:58279:1] [-431:78772:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
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 |
104742bg2 198d4 |
Quadratic twists by: -3 -23 |