Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450bz |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-8721368026200 = -1 · 23 · 39 · 52 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62368,5991512] |
[a1,a2,a3,a4,a6] |
Generators |
[146:-16:1] |
Generators of the group modulo torsion |
j |
-1073172637431494185/348854721048 |
j-invariant |
L |
9.6739366691467 |
L(r)(E,1)/r! |
Ω |
0.71830015247126 |
Real period |
R |
0.12470203071685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48450n1 |
Quadratic twists by: 5 |