Atkin-Lehner |
2- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bm |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
195596288 = 212 · 17 · 532 |
Discriminant |
Eigenvalues |
2- 0 2 0 -6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164,-448] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:5:1] [-4:12:1] |
Generators of the group modulo torsion |
j |
119095488/47753 |
j-invariant |
L |
10.401623656711 |
L(r)(E,1)/r! |
Ω |
1.3812282529033 |
Real period |
R |
3.7653529150056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664bl1 28832k1 |
Quadratic twists by: -4 8 |