Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
44100bf |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-875164500000000 = -1 · 28 · 36 · 59 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224175,-40878250] |
[a1,a2,a3,a4,a6] |
Generators |
[1415:49750:1] |
Generators of the group modulo torsion |
j |
-177953104/125 |
j-invariant |
L |
4.8585694655867 |
L(r)(E,1)/r! |
Ω |
0.10969945470682 |
Real period |
R |
3.6908186087166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4900b1 8820v1 44100co1 |
Quadratic twists by: -3 5 -7 |