Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728cl |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
16708608 = 210 · 32 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,147] |
[a1,a2,a3,a4,a6] |
j |
49948672/16317 |
j-invariant |
L |
4.0524748150823 |
L(r)(E,1)/r! |
Ω |
2.0262374077088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728dc1 6216o1 |
Quadratic twists by: -4 8 |