Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3948c |
Isogeny class |
Conductor |
3948 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
432 |
Modular degree for the optimal curve |
Δ |
110544 = 24 · 3 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49,116] |
[a1,a2,a3,a4,a6] |
j |
829898752/6909 |
j-invariant |
L |
1.6766307842687 |
L(r)(E,1)/r! |
Ω |
3.3532615685374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792u1 63168h1 11844c1 98700j1 |
Quadratic twists by: -4 8 -3 5 |