Atkin-Lehner |
2- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672bh |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
402194432 = 216 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 -4 -2 -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,799] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:32:1] [-1:32:1] |
Generators of the group modulo torsion |
j |
19307236/6137 |
j-invariant |
L |
3.8579424037544 |
L(r)(E,1)/r! |
Ω |
1.557265682151 |
Real period |
R |
1.2386911392104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672o1 5168b1 |
Quadratic twists by: -4 8 |