Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dp |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-10806531246000 = -1 · 24 · 38 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2940,-145775] |
[a1,a2,a3,a4,a6] |
Generators |
[56:441:1] |
Generators of the group modulo torsion |
j |
16384/63 |
j-invariant |
L |
5.3001074587272 |
L(r)(E,1)/r! |
Ω |
0.3655462862862 |
Real period |
R |
0.60413091054376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bu1 44100do1 6300bf1 |
Quadratic twists by: -3 5 -7 |