Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968dl |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
108673488 = 24 · 36 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-1573] |
[a1,a2,a3,a4,a6] |
Generators |
[-604:565:64] |
Generators of the group modulo torsion |
j |
131072/7 |
j-invariant |
L |
5.992632501641 |
L(r)(E,1)/r! |
Ω |
1.188337474562 |
Real period |
R |
5.0428709140462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30492z1 13552k1 121968fd1 |
Quadratic twists by: -4 -3 -11 |