Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100bo |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-267907500000000 = -1 · 28 · 37 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4200,780500] |
[a1,a2,a3,a4,a6] |
j |
57344/1875 |
j-invariant |
L |
3.325376083215 |
L(r)(E,1)/r! |
Ω |
0.41567201040342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700i1 8820x1 44100z1 |
Quadratic twists by: -3 5 -7 |