Atkin-Lehner |
2- 5- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040t |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
431526772736000000 = 230 · 56 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417120,-98617600] |
[a1,a2,a3,a4,a6] |
Generators |
[21270:210970:27] |
Generators of the group modulo torsion |
j |
1959511636224758881/105353216000000 |
j-invariant |
L |
13.117297787089 |
L(r)(E,1)/r! |
Ω |
0.18848877167086 |
Real period |
R |
5.7993276590652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130l1 |
Quadratic twists by: -4 |