Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960b |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
499728034824192000 = 242 · 32 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-238881,29451681] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1581:1] |
Generators of the group modulo torsion |
j |
5750828726750281/1906311168000 |
j-invariant |
L |
3.0032877526794 |
L(r)(E,1)/r! |
Ω |
0.2711887724358 |
Real period |
R |
5.5372641704028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960da1 3030n1 |
Quadratic twists by: -4 8 |