Atkin-Lehner |
2- 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10266h |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
225 |
Product of Tamagawa factors cp |
deg |
46800 |
Modular degree for the optimal curve |
Δ |
-804486508609536 = -1 · 215 · 315 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11145,1288233] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:549:1] |
Generators of the group modulo torsion |
j |
153095172022936079/804486508609536 |
j-invariant |
L |
7.9520998422335 |
L(r)(E,1)/r! |
Ω |
0.36224430234707 |
Real period |
R |
2.4391457461504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
82128n1 30798l1 |
Quadratic twists by: -4 -3 |