Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728dn |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10317301284864 = -1 · 218 · 3 · 7 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5343,-37695] |
[a1,a2,a3,a4,a6] |
Generators |
[6106:169345:8] |
Generators of the group modulo torsion |
j |
64336588343/39357381 |
j-invariant |
L |
6.7556282147084 |
L(r)(E,1)/r! |
Ω |
0.41865590307129 |
Real period |
R |
8.0682347545366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bk3 12432bz4 |
Quadratic twists by: -4 8 |