Atkin-Lehner |
2- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57460a |
Isogeny class |
Conductor |
57460 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
10667247890000 = 24 · 54 · 137 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11041,-421680] |
[a1,a2,a3,a4,a6] |
Generators |
[277:-4225:1] [-64:164:1] |
Generators of the group modulo torsion |
j |
1927561216/138125 |
j-invariant |
L |
5.7260851012864 |
L(r)(E,1)/r! |
Ω |
0.46784543615319 |
Real period |
R |
2.0398777953832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4420b1 |
Quadratic twists by: 13 |