Atkin-Lehner |
2+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672p |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
25137152 = 212 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 0 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:16:1] [-1:8:1] |
Generators of the group modulo torsion |
j |
10648000/6137 |
j-invariant |
L |
5.1941122068869 |
L(r)(E,1)/r! |
Ω |
1.8076329479715 |
Real period |
R |
1.4367165117001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672s1 10336f1 |
Quadratic twists by: -4 8 |