Atkin-Lehner |
2- 3+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10266f |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4576 |
Modular degree for the optimal curve |
Δ |
31537152 = 211 · 32 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -3 1 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] [-5:18:1] |
Generators of the group modulo torsion |
j |
54569318257/31537152 |
j-invariant |
L |
6.3420318671079 |
L(r)(E,1)/r! |
Ω |
1.75054929878 |
Real period |
R |
0.16467641098629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82128bb1 30798c1 |
Quadratic twists by: -4 -3 |