Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15540d |
Isogeny class |
Conductor |
15540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
372960000 = 28 · 32 · 54 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1356,19656] |
[a1,a2,a3,a4,a6] |
Generators |
[9:90:1] |
Generators of the group modulo torsion |
j |
1077911368144/1456875 |
j-invariant |
L |
4.4104682160079 |
L(r)(E,1)/r! |
Ω |
1.692086951824 |
Real period |
R |
2.6065257528602 |
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 |
62160ch2 46620z2 77700u2 108780bq2 |
Quadratic twists by: -4 -3 5 -7 |