Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728eb |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2561897447424 = -1 · 214 · 32 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2571,59283] |
[a1,a2,a3,a4,a6] |
Generators |
[4026:344769:1331] |
Generators of the group modulo torsion |
j |
114667692032/156365811 |
j-invariant |
L |
9.2545323679729 |
L(r)(E,1)/r! |
Ω |
0.54797711979187 |
Real period |
R |
8.4442689609587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728p2 12432be2 |
Quadratic twists by: -4 8 |