Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bu |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-44912738304 = -1 · 217 · 33 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 2 0 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,-11137] |
[a1,a2,a3,a4,a6] |
Generators |
[29:12:1] |
Generators of the group modulo torsion |
j |
-94091762/342657 |
j-invariant |
L |
6.7197580283566 |
L(r)(E,1)/r! |
Ω |
0.46706272022524 |
Real period |
R |
2.397878535145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728ds1 6216b1 |
Quadratic twists by: -4 8 |