Atkin-Lehner |
2- 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160ba |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
436224 |
Modular degree for the optimal curve |
Δ |
-48727457280000 = -1 · 212 · 33 · 54 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25512,1603984] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:1780:1] [-7:1335:1] |
Generators of the group modulo torsion |
j |
-16604795017728/440605625 |
j-invariant |
L |
12.442830024307 |
L(r)(E,1)/r! |
Ω |
0.6336830757402 |
Real period |
R |
0.40907771629507 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160e1 128160a1 |
Quadratic twists by: -4 -3 |