Atkin-Lehner |
2+ 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384y |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
1169751872016 = 24 · 39 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 6 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8571,-300953] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:49:1] |
Generators of the group modulo torsion |
j |
5969949899008/100287369 |
j-invariant |
L |
10.390779877422 |
L(r)(E,1)/r! |
Ω |
0.4966885474957 |
Real period |
R |
1.0460055839777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128bg1 |
Quadratic twists by: -3 |