Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10266j |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
816 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-148536092469362688 = -1 · 217 · 38 · 292 · 593 |
Discriminant |
Eigenvalues |
2- 3- -4 1 -5 3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1725515,872474481] |
[a1,a2,a3,a4,a6] |
Generators |
[-914:41521:1] |
Generators of the group modulo torsion |
j |
-568172153481183395757361/148536092469362688 |
j-invariant |
L |
6.2187104456347 |
L(r)(E,1)/r! |
Ω |
0.31776428186524 |
Real period |
R |
0.023983087836813 |
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 |
82128s1 30798d1 |
Quadratic twists by: -4 -3 |