Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150cc |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3184418070187500000 = 25 · 3 · 59 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23086138,-42704338969] |
[a1,a2,a3,a4,a6] |
j |
14809006736693/34656 |
j-invariant |
L |
2.7550011543474 |
L(r)(E,1)/r! |
Ω |
0.068875028840782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54150bi2 2850m2 |
Quadratic twists by: 5 -19 |