Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550bf |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1228957312500 = 22 · 312 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20113,-1098283] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:77:1] |
Generators of the group modulo torsion |
j |
57588477431113/78653268 |
j-invariant |
L |
6.4316251313215 |
L(r)(E,1)/r! |
Ω |
0.40092750254433 |
Real period |
R |
1.336822137524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44400w4 16650i4 222c3 |
Quadratic twists by: -4 -3 5 |