Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16072b |
Isogeny class |
Conductor |
16072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
64577296 = 24 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ -3 3 7+ 1 -2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-931,10927] |
[a1,a2,a3,a4,a6] |
Generators |
[23:41:1] |
Generators of the group modulo torsion |
j |
2323060992/1681 |
j-invariant |
L |
3.5638950418514 |
L(r)(E,1)/r! |
Ω |
1.9449279078537 |
Real period |
R |
0.45810117530067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32144b1 128576h1 16072f1 |
Quadratic twists by: -4 8 -7 |