Atkin-Lehner |
2+ 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550q |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
467712 |
Modular degree for the optimal curve |
Δ |
7025590000000 = 27 · 57 · 11 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 11- 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4792,7616] |
[a1,a2,a3,a4,a6] |
Generators |
[-24669:275347:729] |
Generators of the group modulo torsion |
j |
778941947601/449637760 |
j-invariant |
L |
9.1705258442479 |
L(r)(E,1)/r! |
Ω |
0.63458099877653 |
Real period |
R |
7.2256543316295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999553886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24310bd1 |
Quadratic twists by: 5 |