Atkin-Lehner |
2+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23128b |
Isogeny class |
Conductor |
23128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9744 |
Modular degree for the optimal curve |
Δ |
-5441972144 = -1 · 24 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 2 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,229,-3214] |
[a1,a2,a3,a4,a6] |
Generators |
[65:539:1] |
Generators of the group modulo torsion |
j |
14336/59 |
j-invariant |
L |
5.6884483278476 |
L(r)(E,1)/r! |
Ω |
0.68665903100105 |
Real period |
R |
1.3807066950329 |
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 |
46256g1 23128k1 |
Quadratic twists by: -4 -7 |