Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730bu |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-586511625859891200 = -1 · 218 · 36 · 52 · 73 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23780633,44641749881] |
[a1,a2,a3,a4,a6] |
Generators |
[2815:-1548:1] |
Generators of the group modulo torsion |
j |
-2040170194547054303758921/804542696652800 |
j-invariant |
L |
10.107798409714 |
L(r)(E,1)/r! |
Ω |
0.23561208203968 |
Real period |
R |
1.1916713931508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
4970e2 |
Quadratic twists by: -3 |