Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
93024h |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
82748755008 = 26 · 36 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14625,680616] |
[a1,a2,a3,a4,a6] |
Generators |
[19:640:1] |
Generators of the group modulo torsion |
j |
7414875000000/1773593 |
j-invariant |
L |
8.5299757571469 |
L(r)(E,1)/r! |
Ω |
1.0534223958429 |
Real period |
R |
4.0486968022901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983736 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024e1 10336n1 |
Quadratic twists by: -4 -3 |