Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960a |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
5235840000 = 210 · 34 · 54 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10941,444141] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:900:1] |
Generators of the group modulo torsion |
j |
141460276688896/5113125 |
j-invariant |
L |
3.4500041087309 |
L(r)(E,1)/r! |
Ω |
1.2730771099408 |
Real period |
R |
1.3549863043125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960cz1 12120j1 |
Quadratic twists by: -4 8 |