Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800bq |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
4672000000 = 212 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2500,48000] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:207:1] [-20:300:1] |
Generators of the group modulo torsion |
j |
27000000/73 |
j-invariant |
L |
9.5277266263094 |
L(r)(E,1)/r! |
Ω |
1.3777014029066 |
Real period |
R |
3.4578344068641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116800bp1 58400l1 4672b1 |
Quadratic twists by: -4 8 5 |