Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119646be |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
-1113717163176137934 = -1 · 2 · 38 · 178 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 1 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2801331,-1804671333] |
[a1,a2,a3,a4,a6] |
Generators |
[39237618171783:1591346477194941:13634789869] |
Generators of the group modulo torsion |
j |
-478077364657/219006 |
j-invariant |
L |
6.6288682072749 |
L(r)(E,1)/r! |
Ω |
0.058346728668953 |
Real period |
R |
18.935275260205 |
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 |
39882bz1 119646ba1 |
Quadratic twists by: -3 17 |