Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2068c |
Isogeny class |
Conductor |
2068 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-6220544 = -1 · 28 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 1 -1 0 11- 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9581,-364177] |
[a1,a2,a3,a4,a6] |
Generators |
[113:94:1] |
Generators of the group modulo torsion |
j |
-379980749676544/24299 |
j-invariant |
L |
3.3087937846147 |
L(r)(E,1)/r! |
Ω |
0.24127541427028 |
Real period |
R |
2.2856271221707 |
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 |
8272i1 33088d1 18612e1 51700h1 |
Quadratic twists by: -4 8 -3 5 |