Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496p |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-501680304 = -1 · 24 · 312 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96,1015] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2520:1] |
Generators of the group modulo torsion |
j |
8388608/43011 |
j-invariant |
L |
4.9505266156049 |
L(r)(E,1)/r! |
Ω |
1.1904700435617 |
Real period |
R |
4.1584638289542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2124b1 33984bx1 2832f1 |
Quadratic twists by: -4 8 -3 |