Atkin-Lehner |
2+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664t |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
16664896 = 26 · 173 · 53 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 -6 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69,127] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:17:1] |
Generators of the group modulo torsion |
j |
575930368/260389 |
j-invariant |
L |
3.4956283527038 |
L(r)(E,1)/r! |
Ω |
1.9708222826078 |
Real period |
R |
0.59123009781747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664bp1 901c1 |
Quadratic twists by: -4 8 |