Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728a |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2434235328 = 26 · 34 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568,-4454] |
[a1,a2,a3,a4,a6] |
Generators |
[575:13764:1] |
Generators of the group modulo torsion |
j |
317214568000/38034927 |
j-invariant |
L |
4.5051112824341 |
L(r)(E,1)/r! |
Ω |
0.9854660386677 |
Real period |
R |
4.5715540725523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cb1 24864v2 |
Quadratic twists by: -4 8 |