Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608o |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
953192448 = 212 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-528,4608] |
[a1,a2,a3,a4,a6] |
Generators |
[24:72:1] |
Generators of the group modulo torsion |
j |
3981876625/232713 |
j-invariant |
L |
4.2498249014598 |
L(r)(E,1)/r! |
Ω |
1.5432925416825 |
Real period |
R |
0.68843475664483 |
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 |
663c1 42432ck1 31824r1 |
Quadratic twists by: -4 8 -3 |