Atkin-Lehner |
2+ 3- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52896d |
Isogeny class |
Conductor |
52896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
1573867584 = 26 · 34 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-394,-2464] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:24:1] |
Generators of the group modulo torsion |
j |
105958111168/24591681 |
j-invariant |
L |
3.6161672029942 |
L(r)(E,1)/r! |
Ω |
1.0892785516525 |
Real period |
R |
1.6598909422424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52896g1 105792k2 |
Quadratic twists by: -4 8 |