Atkin-Lehner |
2- 3- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496n |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4109765050368 = -1 · 217 · 312 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -5 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103035,12730282] |
[a1,a2,a3,a4,a6] |
Generators |
[173:288:1] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
4.2215108377244 |
L(r)(E,1)/r! |
Ω |
0.72936230414459 |
Real period |
R |
0.72349345684163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1062k1 33984bs1 2832e1 |
Quadratic twists by: -4 8 -3 |