Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728dc |
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] |
Generators |
[-4:9:1] |
Generators of the group modulo torsion |
j |
49948672/16317 |
j-invariant |
L |
5.1795380675218 |
L(r)(E,1)/r! |
Ω |
1.6518714291778 |
Real period |
R |
1.5677788162029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cl1 12432h1 |
Quadratic twists by: -4 8 |