Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686p |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4139520 |
Modular degree for the optimal curve |
Δ |
-1.2601494440934E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 5 13+ -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1921364,-1992740784] |
[a1,a2,a3,a4,a6] |
j |
-4027268071/6469632 |
j-invariant |
L |
0.24289412447728 |
L(r)(E,1)/r! |
Ω |
0.060723530962573 |
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 |
49686bn1 3822s1 |
Quadratic twists by: -7 13 |