Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120cq |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
44154880000 = 217 · 54 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2200,39152] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-160:1] |
Generators of the group modulo torsion |
j |
5869932649/220000 |
j-invariant |
L |
4.9168168925773 |
L(r)(E,1)/r! |
Ω |
1.1301253554518 |
Real period |
R |
0.27191767205579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390o1 43120z1 |
Quadratic twists by: -4 -7 |