Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160m |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
934286400 = 26 · 38 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2433,-46168] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:2:1] |
Generators of the group modulo torsion |
j |
34138350784/20025 |
j-invariant |
L |
3.0510017875423 |
L(r)(E,1)/r! |
Ω |
0.67979711654185 |
Real period |
R |
2.2440531874363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160k1 42720h1 |
Quadratic twists by: -4 -3 |