Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12826h |
Isogeny class |
Conductor |
12826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-1502283728 = -1 · 24 · 116 · 53 |
Discriminant |
Eigenvalues |
2- -1 -4 0 11- -1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910,-11109] |
[a1,a2,a3,a4,a6] |
Generators |
[39:101:1] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
3.9017993898805 |
L(r)(E,1)/r! |
Ω |
0.43415249971143 |
Real period |
R |
1.1233954061286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102608o1 115434z1 106b1 |
Quadratic twists by: -4 -3 -11 |