Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400bb |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
10730880000 = 210 · 36 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -5 -5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-30850] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:18:1] [-25:20:1] |
Generators of the group modulo torsion |
j |
1562500/23 |
j-invariant |
L |
8.2179149138274 |
L(r)(E,1)/r! |
Ω |
0.72616686882905 |
Real period |
R |
0.94307007413234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800bx1 4600m1 41400bp1 |
Quadratic twists by: -4 -3 5 |