Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1326d |
Isogeny class |
Conductor |
1326 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
15251079168 = 216 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -2 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1138,13055] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:147:1] |
Generators of the group modulo torsion |
j |
162995025390625/15251079168 |
j-invariant |
L |
3.1725115665398 |
L(r)(E,1)/r! |
Ω |
1.2111333343289 |
Real period |
R |
0.16371605610096 |
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 |
10608v1 42432bf1 3978a1 33150s1 |
Quadratic twists by: -4 8 -3 5 |