Atkin-Lehner |
2+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49856c |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-49856 = -1 · 26 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 1 -2 -2 -4 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1,11] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] |
Generators of the group modulo torsion |
j |
512/779 |
j-invariant |
L |
4.1231944448935 |
L(r)(E,1)/r! |
Ω |
2.7921289937788 |
Real period |
R |
1.4767206150052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49856e1 24928b1 |
Quadratic twists by: -4 8 |