Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264o |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
38487824531712 = 28 · 314 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 -4 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335127,-74672170] |
[a1,a2,a3,a4,a6] |
Generators |
[61757:15346528:1] |
Generators of the group modulo torsion |
j |
22304088258781264/206231913 |
j-invariant |
L |
3.3583960064703 |
L(r)(E,1)/r! |
Ω |
0.19842548062014 |
Real period |
R |
8.4626127718093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52632j1 35088b1 |
Quadratic twists by: -4 -3 |