Atkin-Lehner |
2+ 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344s |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
8278016 = 212 · 43 · 47 |
Discriminant |
Eigenvalues |
2+ 2 3 -2 6 4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-409,3321] |
[a1,a2,a3,a4,a6] |
Generators |
[90:33:8] |
Generators of the group modulo torsion |
j |
1851804352/2021 |
j-invariant |
L |
14.275180324483 |
L(r)(E,1)/r! |
Ω |
2.3190649808797 |
Real period |
R |
3.0777879347689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999217445 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344h1 64672h1 |
Quadratic twists by: -4 8 |