Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100dh |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-19211611104000 = -1 · 28 · 36 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17640,926100] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1225:1] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
6.2409308313387 |
L(r)(E,1)/r! |
Ω |
0.68335751582035 |
Real period |
R |
2.2831865776166 |
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 |
4900v1 44100di1 6300v1 |
Quadratic twists by: -3 5 -7 |