Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600bz |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-526958899200 = -1 · 212 · 32 · 52 · 833 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 -4 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,34992] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:166:1] |
Generators of the group modulo torsion |
j |
-5151505/5146083 |
j-invariant |
L |
6.7011805593263 |
L(r)(E,1)/r! |
Ω |
0.74763367740063 |
Real period |
R |
0.3734661305471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6225d1 99600df1 |
Quadratic twists by: -4 5 |