Atkin-Lehner |
2- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11968p |
Isogeny class |
Conductor |
11968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-1448128 = -1 · 26 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 -4 5 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[7:23:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
3.6706186691633 |
L(r)(E,1)/r! |
Ω |
1.5717350466238 |
Real period |
R |
2.3353927731319 |
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 |
11968i1 2992i1 107712et1 |
Quadratic twists by: -4 8 -3 |