Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048bj |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
51485255811072 = 214 · 316 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11100,-288848] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:320:1] |
Generators of the group modulo torsion |
j |
12663250000/4310577 |
j-invariant |
L |
6.3082847437553 |
L(r)(E,1)/r! |
Ω |
0.47796265444766 |
Real period |
R |
3.2995698958172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048a2 10512a2 14016bq2 |
Quadratic twists by: -4 8 -3 |