Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100db |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-183861121893750000 = -1 · 24 · 36 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-643125,199583125] |
[a1,a2,a3,a4,a6] |
Generators |
[539:3087:1] |
Generators of the group modulo torsion |
j |
-160000 |
j-invariant |
L |
5.4591730128619 |
L(r)(E,1)/r! |
Ω |
0.32152477109009 |
Real period |
R |
1.4149176838311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900u1 44100bh1 44100cz1 |
Quadratic twists by: -3 5 -7 |