Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
10512k |
Isogeny class |
Conductor |
10512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
89384124672 = 28 · 314 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1191,-6586] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:72:1] |
Generators of the group modulo torsion |
j |
1001132368/478953 |
j-invariant |
L |
3.0047652094727 |
L(r)(E,1)/r! |
Ω |
0.85208732766317 |
Real period |
R |
1.7631791436878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5256h1 42048ch1 3504f1 |
Quadratic twists by: -4 8 -3 |