Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848v |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
-605187994469216256 = -1 · 212 · 310 · 75 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -5 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-494184,138854896] |
[a1,a2,a3,a4,a6] |
Generators |
[404:-2268:1] [740:13356:1] |
Generators of the group modulo torsion |
j |
-4469946001956352/202676234859 |
j-invariant |
L |
9.731054993999 |
L(r)(E,1)/r! |
Ω |
0.28679791716237 |
Real period |
R |
0.28275004837058 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106848bd1 35616ba1 |
Quadratic twists by: -4 -3 |