Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960cv |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
4085790536400 = 24 · 3 · 52 · 237 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11285,-454842] |
[a1,a2,a3,a4,a6] |
Generators |
[-195028848:-264847553:2985984] |
Generators of the group modulo torsion |
j |
67108864/1725 |
j-invariant |
L |
9.2707430901039 |
L(r)(E,1)/r! |
Ω |
0.46392943602962 |
Real period |
R |
9.9915443595865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31740b1 5520bb1 |
Quadratic twists by: -4 -23 |