Atkin-Lehner |
2- 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232by |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-26721122254848 = -1 · 224 · 34 · 7 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8289,-379647] |
[a1,a2,a3,a4,a6] |
j |
-240293820313/101932992 |
j-invariant |
L |
0.98038095977564 |
L(r)(E,1)/r! |
Ω |
0.24509524058574 |
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 |
71232bn1 17808t1 |
Quadratic twists by: -4 8 |