Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728bi |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1747200 |
Modular degree for the optimal curve |
Δ |
-1.3547799647638E+19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10127801,12403576521] |
[a1,a2,a3,a4,a6] |
j |
-1795102530323910983888896/211684369494348891 |
j-invariant |
L |
2.1487647935155 |
L(r)(E,1)/r! |
Ω |
0.2148764793087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728dk1 777b1 |
Quadratic twists by: -4 8 |