Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446h |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
922245232896 = 28 · 310 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11871,-492723] |
[a1,a2,a3,a4,a6] |
Generators |
[297:4554:1] |
Generators of the group modulo torsion |
j |
253792437805297/1265082624 |
j-invariant |
L |
3.032568180385 |
L(r)(E,1)/r! |
Ω |
0.45751603032621 |
Real period |
R |
3.3141660394094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35568ch2 1482j2 111150dt2 57798bo2 |
Quadratic twists by: -4 -3 5 13 |