Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448q |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
472960401408 = 216 · 33 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3579,-75478] |
[a1,a2,a3,a4,a6] |
Generators |
[106:858:1] |
Generators of the group modulo torsion |
j |
45844273539/4276624 |
j-invariant |
L |
7.930296582182 |
L(r)(E,1)/r! |
Ω |
0.62093729074051 |
Real period |
R |
3.1928733786101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9306i2 74448t2 |
Quadratic twists by: -4 -3 |