Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960h |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-159805440 = -1 · 212 · 33 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12,608] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:24:1] |
Generators of the group modulo torsion |
j |
1728/1445 |
j-invariant |
L |
5.7450736856571 |
L(r)(E,1)/r! |
Ω |
1.420407903397 |
Real period |
R |
1.0111661713361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960j2 24480e1 48960bb2 |
Quadratic twists by: -4 8 -3 |