Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160k |
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 |
[11:144:1] |
Generators of the group modulo torsion |
j |
34138350784/20025 |
j-invariant |
L |
6.1672650526354 |
L(r)(E,1)/r! |
Ω |
1.5524097880085 |
Real period |
R |
1.9863521992154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997724224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160m1 42720l1 |
Quadratic twists by: -4 -3 |