Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dc |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-33770410143750000 = -1 · 24 · 38 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18375,-8789375] |
[a1,a2,a3,a4,a6] |
Generators |
[329:5733:1] |
Generators of the group modulo torsion |
j |
1280/63 |
j-invariant |
L |
5.6264599988375 |
L(r)(E,1)/r! |
Ω |
0.17636458730341 |
Real period |
R |
2.6585363521012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700br1 44100bn1 6300ba1 |
Quadratic twists by: -3 5 -7 |