Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bc |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8597928789506250000 = 24 · 34 · 58 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-609376,116658398] |
[a1,a2,a3,a4,a6] |
Generators |
[757:9071:1] |
Generators of the group modulo torsion |
j |
34043726521/11696400 |
j-invariant |
L |
5.8744762550606 |
L(r)(E,1)/r! |
Ω |
0.2134030052904 |
Real period |
R |
3.4409521594715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998756 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10830y2 2850p2 |
Quadratic twists by: 5 -19 |